diff --git a/package.json b/package.json
index 8d09f450..f872755f 100644
--- a/package.json
+++ b/package.json
@@ -87,7 +87,7 @@
     "graphql": "^16.6.0"
   },
   "devDependencies": {
-    "@antfu/eslint-config": "^7.0.0",
+    "@antfu/eslint-config": "^8.0.0",
     "@graphql-codegen/cli": "6.3.1",
     "@graphql-codegen/typescript": "^5.0.0",
     "@tsconfig/recommended": "1.0.13",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index c5fc5dc1..dd3ffdf0 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -28,8 +28,8 @@ importers:
         version: 16.13.2
     devDependencies:
       '@antfu/eslint-config':
-        specifier: ^7.0.0
-        version: 7.7.3(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@typescript-eslint/typescript-estree@8.57.1(typescript@6.0.3))(@typescript-eslint/utils@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@vue/compiler-sfc@3.5.12)(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)(vitest@4.1.4(@types/node@24.12.2)(vite@7.3.1(@types/node@24.12.2)(jiti@2.4.0)(yaml@2.8.2)))
+        specifier: ^8.0.0
+        version: 8.2.0(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@typescript-eslint/typescript-estree@8.58.2(typescript@6.0.3))(@typescript-eslint/utils@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@vue/compiler-sfc@3.5.12)(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)(vitest@4.1.4(@types/node@24.12.2)(vite@7.3.1(@types/node@24.12.2)(jiti@2.4.0)(yaml@2.8.2)))
       '@graphql-codegen/cli':
         specifier: 6.3.1
         version: 6.3.1(@types/node@24.12.2)(graphql@16.13.2)(typescript@6.0.3)
@@ -85,14 +85,14 @@ packages:
     resolution: {integrity: sha512-30iZtAPgz+LTIYoeivqYo853f02jBYSd5uGnGpkFV0M3xOt9aN73erkgYAmZU43x4VfqcnLxW9Kpg3R5LC4YYw==}
     engines: {node: '>=6.0.0'}
 
-  '@antfu/eslint-config@7.7.3':
-    resolution: {integrity: sha512-BtroDxTvmWtvr3yJkdWVCvwsKlnEdkreoeOyrdNezc/W5qaiQNf2xjcsQ3N5Yy0x27h+0WFfW8rG8YlVioG6dw==}
+  '@antfu/eslint-config@8.2.0':
+    resolution: {integrity: sha512-spfwYXMNrlkl69riTSBnbC0C2K8EVfVMOK3ceP2EpAAioyfprIW1gTwyLRtd9jZSFeNdX4mFNAIG+o0sOneOfA==}
     hasBin: true
     peerDependencies:
       '@angular-eslint/eslint-plugin': ^21.1.0
       '@angular-eslint/eslint-plugin-template': ^21.1.0
       '@angular-eslint/template-parser': ^21.1.0
-      '@eslint-react/eslint-plugin': ^2.11.0
+      '@eslint-react/eslint-plugin': ^3.0.0
       '@next/eslint-plugin-next': '>=15.0.0'
       '@prettier/plugin-xml': ^3.4.1
       '@unocss/eslint-plugin': '>=0.50.0'
@@ -101,7 +101,6 @@ packages:
       eslint-plugin-astro: ^1.2.0
       eslint-plugin-format: '>=0.1.0'
       eslint-plugin-jsx-a11y: '>=6.10.2'
-      eslint-plugin-react-hooks: ^7.0.0
       eslint-plugin-react-refresh: ^0.5.0
       eslint-plugin-solid: ^0.14.3
       eslint-plugin-svelte: '>=2.35.1'
@@ -132,8 +131,6 @@ packages:
         optional: true
       eslint-plugin-jsx-a11y:
         optional: true
-      eslint-plugin-react-hooks:
-        optional: true
       eslint-plugin-react-refresh:
         optional: true
       eslint-plugin-solid:
@@ -333,17 +330,17 @@ packages:
   '@bcoe/v8-coverage@0.2.3':
     resolution: {integrity: sha512-0hYQ8SB4Db5zvZB4axdMHGwEaQjkZzFjQiN9LVYvIFB2nSUHW9tYpxWriPrWDASIxiaXax83REcLxuSdnGPZtw==}
 
-  '@clack/core@1.1.0':
-    resolution: {integrity: sha512-SVcm4Dqm2ukn64/8Gub2wnlA5nS2iWJyCkdNHcvNHPIeBTGojpdJ+9cZKwLfmqy7irD4N5qLteSilJlE0WLAtA==}
+  '@clack/core@1.2.0':
+    resolution: {integrity: sha512-qfxof/3T3t9DPU/Rj3OmcFyZInceqj/NVtO9rwIuJqCUgh32gwPjpFQQp/ben07qKlhpwq7GzfWpST4qdJ5Drg==}
 
-  '@clack/prompts@1.1.0':
-    resolution: {integrity: sha512-pkqbPGtohJAvm4Dphs2M8xE29ggupihHdy1x84HNojZuMtFsHiUlRvqD24tM2+XmI+61LlfNceM3Wr7U5QES5g==}
+  '@clack/prompts@1.2.0':
+    resolution: {integrity: sha512-4jmztR9fMqPMjz6H/UZXj0zEmE43ha1euENwkckKKel4XpSfokExPo5AiVStdHSAlHekz4d0CA/r45Ok1E4D3w==}
 
-  '@e18e/eslint-plugin@0.2.0':
-    resolution: {integrity: sha512-mXgODVwhuDjTJ+UT+XSvmMmCidtGKfrV5nMIv1UtpWex2pYLsIM3RSpT8HWIMAebS9qANbXPKlSX4BE7ZvuCgA==}
+  '@e18e/eslint-plugin@0.3.0':
+    resolution: {integrity: sha512-hHgfpxsrZ2UYHcicA+tGZnmk19uJTaye9VH79O+XS8R4ona2Hx3xjhXghclNW58uXMk3xXlbYEOMr8thsoBmWg==}
     peerDependencies:
       eslint: ^9.0.0 || ^10.0.0
-      oxlint: ^1.41.0
+      oxlint: ^1.55.0
     peerDependenciesMeta:
       eslint:
         optional: true
@@ -375,6 +372,10 @@ packages:
     resolution: {integrity: sha512-0xew1CxOam0gV5OMjh2KjFQZsKL2bByX1+q4j3E73MpYIdyUxcZb/xQct9ccUb+ve5KGUYbCUxyPnYB7RbuP+w==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
+  '@es-joy/jsdoccomment@0.86.0':
+    resolution: {integrity: sha512-ukZmRQ81WiTpDWO6D/cTBM7XbrNtutHKvAVnZN/8pldAwLoJArGOvkNyxPTBGsPjsoaQBJxlH+tE2TNA/92Qgw==}
+    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
+
   '@es-joy/resolve.exports@1.2.0':
     resolution: {integrity: sha512-Q9hjxWI5xBM+qW2enxfe8wDKdFWMfd0Z29k5ZJnuBqD/CasY5Zryj09aCA6owbGATWz+39p5uIdaHXpopOcG8g==}
     engines: {node: '>=10'}
@@ -568,26 +569,18 @@ packages:
     resolution: {integrity: sha512-eIJYKTCECbP/nsKaaruF6LW967mtbQbsw4JTtSVkUQc9MneSkbrgPJAbKl9nWr0ZeowV8BfsarBmPpBzGelA2w==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/core@0.17.0':
-    resolution: {integrity: sha512-yL/sLrpmtDaFEiUj1osRP4TI2MDz1AddJL+jZ7KSqvBuliN4xqYY54IfdN8qD8Toa6g1iloph1fxQNkjOxrrpQ==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
-
   '@eslint/core@1.2.1':
     resolution: {integrity: sha512-MwcE1P+AZ4C6DWlpin/OmOA54mmIZ/+xZuJiQd4SyB29oAJjN30UW9wkKNptW2ctp4cEsvhlLY/CsQ1uoHDloQ==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/markdown@7.5.1':
-    resolution: {integrity: sha512-R8uZemG9dKTbru/DQRPblbJyXpObwKzo8rv1KYGGuPUPtjM4LXBYM9q5CIZAComzZupws3tWbDwam5AFpPLyJQ==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+  '@eslint/markdown@8.0.1':
+    resolution: {integrity: sha512-WWKmld/EyNdEB8GMq7JMPX1SDWgyJAM1uhtCi5ySrqYQM4HQjmg11EX/q3ZpnpRXHfdccFtli3NBvvGaYjWyQw==}
+    engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
   '@eslint/object-schema@3.0.5':
     resolution: {integrity: sha512-vqTaUEgxzm+YDSdElad6PiRoX4t8VGDjCtt05zn4nU810UIx/uNEV7/lZJ6KwFThKZOzOxzXy48da+No7HZaMw==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
-  '@eslint/plugin-kit@0.4.1':
-    resolution: {integrity: sha512-43/qtrDUokr7LJqoF2c3+RInu/t4zfrpYdoSDfYyhg52rwLV6TnOvdG4fXm7IkSB3wErkcmJS9iEhjVtOSEjjA==}
-    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
-
   '@eslint/plugin-kit@0.6.1':
     resolution: {integrity: sha512-iH1B076HoAshH1mLpHMgwdGeTs0CYwL0SPMkGuSebZrwBp16v415e9NZXg2jtrqPVQjf6IANe2Vtlr5KswtcZQ==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
@@ -1316,6 +1309,9 @@ packages:
   '@types/graphlib@2.1.12':
     resolution: {integrity: sha512-abRfQWMphT2qlXwppQa+CTCtUz/GqxBeozQcMjnOFD/WOKD6sRgxkfG8vq1yagV03447BBzCYhuJ0wiNb+/r+Q==}
 
+  '@types/hast@3.0.4':
+    resolution: {integrity: sha512-WPs+bbQw5aCj+x6laNGWLH3wviHtoCv/P3+otBhbOhJgG8qtpdAMlTCxLtsTWA7LH1Oh/bFCHsBn0TPS5m30EQ==}
+
   '@types/istanbul-lib-coverage@2.0.6':
     resolution: {integrity: sha512-2QF/t/auWm0lsy8XtKVPG19v3sSOQlJe/YHZgfjb/KBBHOGSV+J2q/S671rcq9uTBrLAXmZpqJiaQbMT+zNU1w==}
 
@@ -1328,6 +1324,9 @@ packages:
   '@types/json-schema@7.0.15':
     resolution: {integrity: sha512-5+fP8P8MFNC+AyZCDxrB2pkZFPGzqQWUzpSeuuVLvm8VMcorNYavBqoFcxK8bQz4Qsbn4oUEEem4wDLfcysGHA==}
 
+  '@types/katex@0.16.8':
+    resolution: {integrity: sha512-trgaNyfU+Xh2Tc+ABIb44a5AYUpicB3uwirOioeOkNPPbmgRNtcWyDeeFRzjPZENO9Vq8gvVqfhaaXWLlevVwg==}
+
   '@types/mdast@4.0.4':
     resolution: {integrity: sha512-kGaNbPh1k7AFzgpud/gMdvIm5xuECykRR+JnWKQno9TAXVa6WIVCGTPvYGekIDL4uwCZQSYbUxNBSb1aUo79oA==}
 
@@ -1352,13 +1351,13 @@ packages:
   '@types/yargs@17.0.33':
     resolution: {integrity: sha512-WpxBCKWPLr4xSsHgz511rFJAM+wS28w2zEO1QDNY5zM/S8ok70NNfztH0xwhqKyaK0OHCbN98LDAZuy1ctxDkA==}
 
-  '@typescript-eslint/eslint-plugin@8.57.1':
-    resolution: {integrity: sha512-Gn3aqnvNl4NGc6x3/Bqk1AOn0thyTU9bqDRhiRnUWezgvr2OnhYCWCgC8zXXRVqBsIL1pSDt7T9nJUe0oM0kDQ==}
+  '@typescript-eslint/eslint-plugin@8.58.2':
+    resolution: {integrity: sha512-aC2qc5thQahutKjP+cl8cgN9DWe3ZUqVko30CMSZHnFEHyhOYoZSzkGtAI2mcwZ38xeImDucI4dnqsHiOYuuCw==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      '@typescript-eslint/parser': ^8.57.1
+      '@typescript-eslint/parser': ^8.58.2
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/parser@8.56.1':
     resolution: {integrity: sha512-klQbnPAAiGYFyI02+znpBRLyjL4/BrBd0nyWkdC0s/6xFLkXYQ8OoRrSkqacS1ddVxf/LDyODIKbQ5TgKAf/Fg==}
@@ -1367,12 +1366,12 @@ packages:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/parser@8.57.1':
-    resolution: {integrity: sha512-k4eNDan0EIMTT/dUKc/g+rsJ6wcHYhNPdY19VoX/EOtaAG8DLtKCykhrUnuHPYvinn5jhAPgD2Qw9hXBwrahsw==}
+  '@typescript-eslint/parser@8.58.2':
+    resolution: {integrity: sha512-/Zb/xaIDfxeJnvishjGdcR4jmr7S+bda8PKNhRGdljDM+elXhlvN0FyPSsMnLmJUrVG9aPO6dof80wjMawsASg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/project-service@8.56.1':
     resolution: {integrity: sha512-TAdqQTzHNNvlVFfR+hu2PDJrURiwKsUvxFn1M0h95BB8ah5jejas08jUWG4dBA68jDMI988IvtfdAI53JzEHOQ==}
@@ -1380,11 +1379,11 @@ packages:
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/project-service@8.57.1':
-    resolution: {integrity: sha512-vx1F37BRO1OftsYlmG9xay1TqnjNVlqALymwWVuYTdo18XuKxtBpCj1QlzNIEHlvlB27osvXFWptYiEWsVdYsg==}
+  '@typescript-eslint/project-service@8.58.2':
+    resolution: {integrity: sha512-Cq6UfpZZk15+r87BkIh5rDpi38W4b+Sjnb8wQCPPDDweS/LRCFjCyViEbzHk5Ck3f2QDfgmlxqSa7S7clDtlfg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/rule-tester@8.56.1':
     resolution: {integrity: sha512-EWuV5Vq1EFYJEOVcILyWPO35PjnT0c6tv99PCpD12PgfZae5/Jo+F17hGjsEs2Moe+Dy1J7KIr8y037cK8+/rQ==}
@@ -1396,8 +1395,8 @@ packages:
     resolution: {integrity: sha512-YAi4VDKcIZp0O4tz/haYKhmIDZFEUPOreKbfdAN3SzUDMcPhJ8QI99xQXqX+HoUVq8cs85eRKnD+rne2UAnj2w==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
-  '@typescript-eslint/scope-manager@8.57.1':
-    resolution: {integrity: sha512-hs/QcpCwlwT2L5S+3fT6gp0PabyGk4Q0Rv2doJXA0435/OpnSR3VRgvrp8Xdoc3UAYSg9cyUjTeFXZEPg/3OKg==}
+  '@typescript-eslint/scope-manager@8.58.2':
+    resolution: {integrity: sha512-SgmyvDPexWETQek+qzZnrG6844IaO02UVyOLhI4wpo82dpZJY9+6YZCKAMFzXb7qhx37mFK1QcPQ18tud+vo6Q==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
   '@typescript-eslint/tsconfig-utils@8.56.1':
@@ -1412,12 +1411,18 @@ packages:
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/type-utils@8.57.1':
-    resolution: {integrity: sha512-+Bwwm0ScukFdyoJsh2u6pp4S9ktegF98pYUU0hkphOOqdMB+1sNQhIz8y5E9+4pOioZijrkfNO/HUJVAFFfPKA==}
+  '@typescript-eslint/tsconfig-utils@8.58.2':
+    resolution: {integrity: sha512-3SR+RukipDvkkKp/d0jP0dyzuls3DbGmwDpVEc5wqk5f38KFThakqAAO0XMirWAE+kT00oTauTbzMFGPoAzB0A==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+    peerDependencies:
+      typescript: '>=4.8.4 <6.1.0'
+
+  '@typescript-eslint/type-utils@8.58.2':
+    resolution: {integrity: sha512-Z7EloNR/B389FvabdGeTo2XMs4W9TjtPiO9DAsmT0yom0bwlPyRjkJ1uCdW1DvrrrYP50AJZ9Xc3sByZA9+dcg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/types@8.56.1':
     resolution: {integrity: sha512-dbMkdIUkIkchgGDIv7KLUpa0Mda4IYjo4IAMJUZ+3xNoUXxMsk9YtKpTHSChRS85o+H9ftm51gsK1dZReY9CVw==}
@@ -1427,17 +1432,21 @@ packages:
     resolution: {integrity: sha512-S29BOBPJSFUiblEl6RzPPjJt6w25A6XsBqRVDt53tA/tlL8q7ceQNZHTjPeONt/3S7KRI4quk+yP9jK2WjBiPQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
+  '@typescript-eslint/types@8.58.2':
+    resolution: {integrity: sha512-9TukXyATBQf/Jq9AMQXfvurk+G5R2MwfqQGDR2GzGz28HvY/lXNKGhkY+6IOubwcquikWk5cjlgPvD2uAA7htQ==}
+    engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
+
   '@typescript-eslint/typescript-estree@8.56.1':
     resolution: {integrity: sha512-qzUL1qgalIvKWAf9C1HpvBjif+Vm6rcT5wZd4VoMb9+Km3iS3Cv9DY6dMRMDtPnwRAFyAi7YXJpTIEXLvdfPxg==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/typescript-estree@8.57.1':
-    resolution: {integrity: sha512-ybe2hS9G6pXpqGtPli9Gx9quNV0TWLOmh58ADlmZe9DguLq0tiAKVjirSbtM1szG6+QH6rVXyU6GTLQbWnMY+g==}
+  '@typescript-eslint/typescript-estree@8.58.2':
+    resolution: {integrity: sha512-ELGuoofuhhoCvNbQjFFiobFcGgcDCEm0ThWdmO4Z0UzLqPXS3KFvnEZ+SHewwOYHjM09tkzOWXNTv9u6Gqtyuw==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/utils@8.56.1':
     resolution: {integrity: sha512-HPAVNIME3tABJ61siYlHzSWCGtOoeP2RTIaHXFMPqjrQKCGB9OgUVdiNgH7TJS2JNIQ5qQ4RsAUDuGaGme/KOA==}
@@ -1446,19 +1455,19 @@ packages:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
       typescript: '>=4.8.4 <6.0.0'
 
-  '@typescript-eslint/utils@8.57.1':
-    resolution: {integrity: sha512-XUNSJ/lEVFttPMMoDVA2r2bwrl8/oPx8cURtczkSEswY5T3AeLmCy+EKWQNdL4u0MmAHOjcWrqJp2cdvgjn8dQ==}
+  '@typescript-eslint/utils@8.58.2':
+    resolution: {integrity: sha512-QZfjHNEzPY8+l0+fIXMvuQ2sJlplB4zgDZvA+NmvZsZv3EQwOcc1DuIU1VJUTWZ/RKouBMhDyNaBMx4sWvrzRA==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
-      typescript: '>=4.8.4 <6.0.0'
+      typescript: '>=4.8.4 <6.1.0'
 
   '@typescript-eslint/visitor-keys@8.56.1':
     resolution: {integrity: sha512-KiROIzYdEV85YygXw6BI/Dx4fnBlFQu6Mq4QE4MOH9fFnhohw6wX/OAvDY2/C+ut0I3RSPKenvZJIVYqJNkhEw==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
-  '@typescript-eslint/visitor-keys@8.57.1':
-    resolution: {integrity: sha512-YWnmJkXbofiz9KbnbbwuA2rpGkFPLbAIetcCNO6mJ8gdhdZ/v7WDXsoGFAJuM6ikUFKTlSQnjWnVO4ux+UzS6A==}
+  '@typescript-eslint/visitor-keys@8.58.2':
+    resolution: {integrity: sha512-f1WO2Lx8a9t8DARmcWAUPJbu0G20bJlj8L4z72K00TMeJAoyLr/tHhI/pzYBLrR4dXWkcxO1cWYZEOX8DKHTqA==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
 
   '@ungap/structured-clone@1.3.0':
@@ -1557,14 +1566,17 @@ packages:
     cpu: [x64]
     os: [win32]
 
-  '@vitest/eslint-plugin@1.6.12':
-    resolution: {integrity: sha512-4kI47BJNFE+EQ5bmPbHzBF+ibNzx2Fj0Jo9xhWsTPxMddlHwIWl6YAxagefh461hrwx/W0QwBZpxGS404kBXyg==}
+  '@vitest/eslint-plugin@1.6.16':
+    resolution: {integrity: sha512-2pBN1F1JXq6zTSaYC58CMJa7pGxXIRsLfOioeZM4cPE3pRdSh1ySTSoHPQlOTEF5WgoVzWZQxhGQ3ygT78hOVg==}
     engines: {node: '>=18'}
     peerDependencies:
+      '@typescript-eslint/eslint-plugin': '*'
       eslint: '>=8.57.0'
       typescript: '>=5.0.0'
       vitest: '*'
     peerDependenciesMeta:
+      '@typescript-eslint/eslint-plugin':
+        optional: true
       typescript:
         optional: true
       vitest:
@@ -1877,10 +1889,18 @@ packages:
   colorette@2.0.20:
     resolution: {integrity: sha512-IfEDxwoWIjkeXL1eXcDiow4UbKjhLdq6/EuSVR9GMN7KVH3r9gQ83e73hsz1Nd1T3ijd5xv1wcWRYO+D6kCI2w==}
 
+  commander@8.3.0:
+    resolution: {integrity: sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==}
+    engines: {node: '>= 12'}
+
   comment-parser@1.4.5:
     resolution: {integrity: sha512-aRDkn3uyIlCFfk5NUA+VdwMmMsh8JGhc4hapfV4yxymHGQ3BVskMQfoXGpCo5IoBuQ9tS5iiVKhCpTcB4pW4qw==}
     engines: {node: '>= 12.0.0'}
 
+  comment-parser@1.4.6:
+    resolution: {integrity: sha512-ObxuY6vnbWTN6Od72xfwN9DbzC7Y2vv8u1Soi9ahRKL37gb6y1qk6/dgjs+3JWuXJHWvsg3BXIwzd/rkmAwavg==}
+    engines: {node: '>= 12.0.0'}
+
   common-tags@1.8.2:
     resolution: {integrity: sha512-gk/Z852D2Wtb//0I+kRFNKKE9dIIVirjoqPoA1wJU+XePVXZfGeBpk45+A1rKO4Q43prqWBNY/MiIeRLbPWUaA==}
     engines: {node: '>=4.0.0'}
@@ -2078,13 +2098,13 @@ packages:
     peerDependencies:
       eslint: '>=6.0.0'
 
-  eslint-config-flat-gitignore@2.2.1:
-    resolution: {integrity: sha512-wA5EqN0era7/7Gt5Botlsfin/UNY0etJSEeBgbUlFLFrBi47rAN//+39fI7fpYcl8RENutlFtvp/zRa/M/pZNg==}
+  eslint-config-flat-gitignore@2.3.0:
+    resolution: {integrity: sha512-bg4ZLGgoARg1naWfsINUUb/52Ksw/K22K+T16D38Y8v+/sGwwIYrGvH/JBjOin+RQtxxC9tzNNiy4shnGtGyyQ==}
     peerDependencies:
       eslint: ^9.5.0 || ^10.0.0
 
-  eslint-flat-config-utils@3.0.2:
-    resolution: {integrity: sha512-mPvevWSDQFwgABvyCurwIu6ZdKxGI5NW22/BGDwA1T49NO6bXuxbV9VfJK/tkQoNyPogT6Yu1d57iM0jnZVWmg==}
+  eslint-flat-config-utils@3.1.0:
+    resolution: {integrity: sha512-lM+Nwo2CzpuTS/RASQExlEIwk/BQoKqJWX6VbDlLMb/mveqvt9MMrRXFEkG3bseuK6g8noKZLeX82epkILtv4A==}
 
   eslint-json-compat-utils@0.2.3:
     resolution: {integrity: sha512-RbBmDFyu7FqnjE8F0ZxPNzx5UaptdeS9Uu50r7A+D7s/+FCX+ybiyViYEgFUaFIFqSWJgZRTpL5d8Kanxxl2lQ==}
@@ -2126,14 +2146,14 @@ packages:
     peerDependencies:
       eslint: '>=8'
 
-  eslint-plugin-import-lite@0.5.2:
-    resolution: {integrity: sha512-XvfdWOC5dSLEI9krIPRlNmKSI2ViIE9pVylzfV9fCq0ZpDaNeUk6o0wZv0OzN83QdadgXp1NsY0qjLINxwYCsw==}
+  eslint-plugin-import-lite@0.6.0:
+    resolution: {integrity: sha512-80vevx2A7i3H7n1/6pqDO8cc5wRz6OwLDvIyVl9UflBV1N1f46e9Ihzi65IOLYoSxM6YykK2fTw1xm0Ixx6aTQ==}
     engines: {node: ^18.18.0 || ^20.9.0 || >=21.1.0}
     peerDependencies:
-      eslint: '>=9.0.0'
+      eslint: ^9.0.0 || ^10.0.0
 
-  eslint-plugin-jsdoc@62.8.0:
-    resolution: {integrity: sha512-hu3r9/6JBmPG6wTcqtYzgZAnjEG2eqRUATfkFscokESg1VDxZM21ZaMire0KjeMwfj+SXvgB4Rvh5LBuesj92w==}
+  eslint-plugin-jsdoc@62.9.0:
+    resolution: {integrity: sha512-PY7/X4jrVgoIDncUmITlUqK546Ltmx/Pd4Hdsu4CvSjryQZJI2mEV4vrdMufyTetMiZ5taNSqvK//BTgVUlNkA==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
     peerDependencies:
       eslint: ^7.0.0 || ^8.0.0 || ^9.0.0 || ^10.0.0
@@ -2154,8 +2174,8 @@ packages:
     resolution: {integrity: sha512-brcKcxGnISN2CcVhXJ/kEQlNa0MEfGRtwKtWA16SkqXHKitaKIMrfemJKLKX1YqDU5C/5JY3PvZXd5jEW04e0Q==}
     engines: {node: '>=5.0.0'}
 
-  eslint-plugin-perfectionist@5.7.0:
-    resolution: {integrity: sha512-WRHj7OZS/INutQ/gKN5C1ZGnMhkQ3oKZQAA2I7rl5yM8keBtSd9oj/qlJaHuwh5873FhMPqYlttcadF0YsTN7g==}
+  eslint-plugin-perfectionist@5.9.0:
+    resolution: {integrity: sha512-8TWzg02zmnBdZwCkWLi8jhzqXI+fE7Z/RwV8SL6xD45tJ8Bp3wGuYL2XtQgfe/Wd0eBqOUX+s6ey73IyszvKTA==}
     engines: {node: ^20.0.0 || >=22.0.0}
     peerDependencies:
       eslint: ^8.45.0 || ^9.0.0 || ^10.0.0
@@ -2177,8 +2197,8 @@ packages:
     peerDependencies:
       eslint: '>=9.38.0'
 
-  eslint-plugin-unicorn@63.0.0:
-    resolution: {integrity: sha512-Iqecl9118uQEXYh7adylgEmGfkn5es3/mlQTLLkd4pXkIk9CTGrAbeUux+YljSa2ohXCBmQQ0+Ej1kZaFgcfkA==}
+  eslint-plugin-unicorn@64.0.0:
+    resolution: {integrity: sha512-rNZwalHh8i0UfPlhNwg5BTUO1CMdKNmjqe+TgzOTZnpKoi8VBgsW7u9qCHIdpxEzZ1uwrJrPF0uRb7l//K38gA==}
     engines: {node: ^20.10.0 || >=21.0.0}
     peerDependencies:
       eslint: '>=9.38.0'
@@ -2314,6 +2334,15 @@ packages:
   fast-levenshtein@2.0.6:
     resolution: {integrity: sha512-DCXu6Ifhqcks7TZKY3Hxp3y6qphY5SJZmrWMDrKcERSOXWQdMhU9Ig/PYrzyw/ul9jOIyh0N4M0tbC5hodg8dw==}
 
+  fast-string-truncated-width@1.2.1:
+    resolution: {integrity: sha512-Q9acT/+Uu3GwGj+5w/zsGuQjh9O1TyywhIwAxHudtWrgF09nHOPrvTLhQevPbttcxjr/SNN7mJmfOw/B1bXgow==}
+
+  fast-string-width@1.1.0:
+    resolution: {integrity: sha512-O3fwIVIH5gKB38QNbdg+3760ZmGz0SZMgvwJbA1b2TGXceKE6A2cOlfogh1iw8lr049zPyd7YADHy+B7U4W9bQ==}
+
+  fast-wrap-ansi@0.1.6:
+    resolution: {integrity: sha512-HlUwET7a5gqjURj70D5jl7aC3Zmy4weA1SHUfM0JFI0Ptq987NH2TwbBFLoERhfwk+E+eaq4EK3jXoT+R3yp3w==}
+
   fastq@1.17.1:
     resolution: {integrity: sha512-sRVD3lWVIXWg6By68ZN7vho9a1pQcN/WBFaAAsDDFzlJjvoGx0P8z7V1t72grFJfJhu3YPZBuu25f7Kaw2jN1w==}
 
@@ -2434,12 +2463,8 @@ packages:
     resolution: {integrity: sha512-7ACyT3wmyp3I61S4fG682L0VA2RGD9otkqGJIwNUMF1SWUombIIk+af1unuDYgMm082aHYwD+mzJvv9Iu8dsgg==}
     engines: {node: '>=18'}
 
-  globals@16.5.0:
-    resolution: {integrity: sha512-c/c15i26VrJ4IRt5Z89DnIzCGDn9EcebibhAOjw5ibqEHsE1wLUgkPn9RDmNcUKyU87GeaL633nyJ+pplFR2ZQ==}
-    engines: {node: '>=18'}
-
-  globals@17.4.0:
-    resolution: {integrity: sha512-hjrNztw/VajQwOLsMNT1cbJiH2muO3OROCHnbehc8eY5JyD2gqz4AcMHPqgaOR59DjgUjYAYLeH699g/eWi2jw==}
+  globals@17.5.0:
+    resolution: {integrity: sha512-qoV+HK2yFl/366t2/Cb3+xxPUo5BuMynomoDmiaZBIdbs+0pYbjfZU+twLhGKp4uCZ/+NbtpVepH5bGCxRyy2g==}
     engines: {node: '>=18'}
 
   globby@11.1.0:
@@ -2814,6 +2839,10 @@ packages:
     resolution: {integrity: sha512-/2uqY7x6bsrpi3i9LVU6J89352C0rpMk0as8trXxCtvd4kPk1ke/Eyif6wqfSLvoNJqcDG9Vk4UsXgygzCt2xA==}
     engines: {node: '>=20.0.0'}
 
+  jsdoc-type-pratt-parser@7.2.0:
+    resolution: {integrity: sha512-dh140MMgjyg3JhJZY/+iEzW+NO5xR2gpbDFKHqotCmexElVntw7GjWjt511+C/Ef02RU5TKYrJo/Xlzk+OLaTw==}
+    engines: {node: '>=20.0.0'}
+
   jsesc@3.1.0:
     resolution: {integrity: sha512-/sM3dO2FOzXjKQhJuo0Q173wf2KOo8t4I8vHy6lF9poUp7bKT0/NHE8fPX23PwfhnykfqnC2xRxOnVw5XuGIaA==}
     engines: {node: '>=6'}
@@ -2848,6 +2877,10 @@ packages:
     resolution: {integrity: sha512-75EA7EWZExL/j+MDKQrRbdzcRI2HOkRlmUw8fZJc1ioqFEOvBsq7Rt+A6yCxOt9w/TYNpkt52gC6nm/g5tFIng==}
     engines: {node: ^20.19.0 || ^22.13.0 || >=24}
 
+  katex@0.16.45:
+    resolution: {integrity: sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==}
+    hasBin: true
+
   keyv@4.5.4:
     resolution: {integrity: sha512-oxVHkHR/EJf2CNXnWxRLW6mg7JyCCUcG0DtEGmL2ctUo1PNTin1PUil+r/+4r5MpVgC/fn1kjsx7mjSujKqIpw==}
 
@@ -2964,6 +2997,9 @@ packages:
   mdast-util-gfm@3.1.0:
     resolution: {integrity: sha512-0ulfdQOM3ysHhCJ1p06l0b0VKlhU0wuQs3thxZQagjcjPrlFRqY215uZGHHJan9GEAXd9MbfPjFJz+qMkVR6zQ==}
 
+  mdast-util-math@3.0.0:
+    resolution: {integrity: sha512-Tl9GBNeG/AhJnQM221bJR2HPvLOSnLE/T9cJI9tlc6zwQk2nPk/4f0cHkOdEixQPC/j8UtKDdITswvLAy1OZ1w==}
+
   mdast-util-phrasing@4.1.0:
     resolution: {integrity: sha512-TqICwyvJJpBwvGAMZjj4J2n0X8QWp21b9l0o7eXyVJ25YNWYbJDVIyD1bZXE6WtV6RmKJVYmQAKWa0zWOABz2w==}
 
@@ -3020,6 +3056,9 @@ packages:
   micromark-extension-gfm@3.0.0:
     resolution: {integrity: sha512-vsKArQsicm7t0z2GugkCKtZehqUm31oeGBV/KVSorWSy8ZlNAv7ytjFhvaryUiCUJYqs+NoE6AFhpQvBTM6Q4w==}
 
+  micromark-extension-math@3.1.0:
+    resolution: {integrity: sha512-lvEqd+fHjATVs+2v/8kg9i5Q0AP2k85H0WUOwpIVvUML8BapsMvh1XAogmQjOCsLpoKRCVQqEkQBB3NhVBcsOg==}
+
   micromark-factory-destination@2.0.1:
     resolution: {integrity: sha512-Xe6rDdJlkmbFRExpTOmRj9N3MaWmbAgdpSrBQvCFqhezUn4AHqJHbaEnfbVYYiexVSs//tqOdY/DxhjdCiJnIA==}
 
@@ -3742,6 +3781,9 @@ packages:
   unist-util-is@6.0.1:
     resolution: {integrity: sha512-LsiILbtBETkDz8I9p1dQ0uyRUWuaQzd/cuEeS1hoRSyW5E5XGmTzlwY1OrNzzakGowI9Dr/I8HVaw4hTtnxy8g==}
 
+  unist-util-remove-position@5.0.0:
+    resolution: {integrity: sha512-Hp5Kh3wLxv0PHj9m2yZhhLt58KzPtEYKQQ4yxfYFEO7EvHwzyDYnduhHnY1mDxoqr7VUwVuHXk9RXKIiYS1N8Q==}
+
   unist-util-stringify-position@4.0.0:
     resolution: {integrity: sha512-0ASV06AAoKCDkS2+xw5RXJywruurpbC4JZSm7nr7MOt1ojAzvyyaO+UxZf18j8FCF6kmzCZKcAgN/yu2gm2XgQ==}
 
@@ -3998,40 +4040,40 @@ snapshots:
       '@jridgewell/gen-mapping': 0.3.13
       '@jridgewell/trace-mapping': 0.3.31
 
-  '@antfu/eslint-config@7.7.3(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@typescript-eslint/typescript-estree@8.57.1(typescript@6.0.3))(@typescript-eslint/utils@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@vue/compiler-sfc@3.5.12)(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)(vitest@4.1.4(@types/node@24.12.2)(vite@7.3.1(@types/node@24.12.2)(jiti@2.4.0)(yaml@2.8.2)))':
+  '@antfu/eslint-config@8.2.0(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@typescript-eslint/typescript-estree@8.58.2(typescript@6.0.3))(@typescript-eslint/utils@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@vue/compiler-sfc@3.5.12)(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)(vitest@4.1.4(@types/node@24.12.2)(vite@7.3.1(@types/node@24.12.2)(jiti@2.4.0)(yaml@2.8.2)))':
     dependencies:
       '@antfu/install-pkg': 1.1.0
-      '@clack/prompts': 1.1.0
-      '@e18e/eslint-plugin': 0.2.0(eslint@10.2.1(jiti@2.4.0))
+      '@clack/prompts': 1.2.0
+      '@e18e/eslint-plugin': 0.3.0(eslint@10.2.1(jiti@2.4.0))
       '@eslint-community/eslint-plugin-eslint-comments': 4.7.1(eslint@10.2.1(jiti@2.4.0))
-      '@eslint/markdown': 7.5.1
+      '@eslint/markdown': 8.0.1
       '@stylistic/eslint-plugin': 5.10.0(eslint@10.2.1(jiti@2.4.0))
-      '@typescript-eslint/eslint-plugin': 8.57.1(@typescript-eslint/parser@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
-      '@typescript-eslint/parser': 8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
-      '@vitest/eslint-plugin': 1.6.12(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)(vitest@4.1.4(@types/node@24.12.2)(vite@7.3.1(@types/node@24.12.2)(jiti@2.4.0)(yaml@2.8.2)))
+      '@typescript-eslint/eslint-plugin': 8.58.2(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@typescript-eslint/parser': 8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@vitest/eslint-plugin': 1.6.16(@typescript-eslint/eslint-plugin@8.58.2(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)(vitest@4.1.4(@types/node@24.12.2)(vite@7.3.1(@types/node@24.12.2)(jiti@2.4.0)(yaml@2.8.2)))
       ansis: 4.2.0
       cac: 7.0.0
       eslint: 10.2.1(jiti@2.4.0)
-      eslint-config-flat-gitignore: 2.2.1(eslint@10.2.1(jiti@2.4.0))
-      eslint-flat-config-utils: 3.0.2
+      eslint-config-flat-gitignore: 2.3.0(eslint@10.2.1(jiti@2.4.0))
+      eslint-flat-config-utils: 3.1.0
       eslint-merge-processors: 2.0.0(eslint@10.2.1(jiti@2.4.0))
       eslint-plugin-antfu: 3.2.2(eslint@10.2.1(jiti@2.4.0))
-      eslint-plugin-command: 3.5.2(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@typescript-eslint/typescript-estree@8.57.1(typescript@6.0.3))(@typescript-eslint/utils@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))
-      eslint-plugin-import-lite: 0.5.2(eslint@10.2.1(jiti@2.4.0))
-      eslint-plugin-jsdoc: 62.8.0(eslint@10.2.1(jiti@2.4.0))
+      eslint-plugin-command: 3.5.2(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@typescript-eslint/typescript-estree@8.58.2(typescript@6.0.3))(@typescript-eslint/utils@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))
+      eslint-plugin-import-lite: 0.6.0(eslint@10.2.1(jiti@2.4.0))
+      eslint-plugin-jsdoc: 62.9.0(eslint@10.2.1(jiti@2.4.0))
       eslint-plugin-jsonc: 3.1.2(eslint@10.2.1(jiti@2.4.0))
       eslint-plugin-n: 17.24.0(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
       eslint-plugin-no-only-tests: 3.3.0
-      eslint-plugin-perfectionist: 5.7.0(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      eslint-plugin-perfectionist: 5.9.0(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
       eslint-plugin-pnpm: 1.6.0(eslint@10.2.1(jiti@2.4.0))
       eslint-plugin-regexp: 3.1.0(eslint@10.2.1(jiti@2.4.0))
       eslint-plugin-toml: 1.3.1(eslint@10.2.1(jiti@2.4.0))
-      eslint-plugin-unicorn: 63.0.0(eslint@10.2.1(jiti@2.4.0))
-      eslint-plugin-unused-imports: 4.4.1(@typescript-eslint/eslint-plugin@8.57.1(@typescript-eslint/parser@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))
-      eslint-plugin-vue: 10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.2.1(jiti@2.4.0)))(@typescript-eslint/parser@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(vue-eslint-parser@10.4.0(eslint@10.2.1(jiti@2.4.0)))
+      eslint-plugin-unicorn: 64.0.0(eslint@10.2.1(jiti@2.4.0))
+      eslint-plugin-unused-imports: 4.4.1(@typescript-eslint/eslint-plugin@8.58.2(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))
+      eslint-plugin-vue: 10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.2.1(jiti@2.4.0)))(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(vue-eslint-parser@10.4.0(eslint@10.2.1(jiti@2.4.0)))
       eslint-plugin-yml: 3.3.1(eslint@10.2.1(jiti@2.4.0))
       eslint-processor-vue-blocks: 2.0.0(@vue/compiler-sfc@3.5.12)(eslint@10.2.1(jiti@2.4.0))
-      globals: 17.4.0
+      globals: 17.5.0
       local-pkg: 1.1.2
       parse-gitignore: 2.0.0
       toml-eslint-parser: 1.0.3
@@ -4258,16 +4300,19 @@ snapshots:
 
   '@bcoe/v8-coverage@0.2.3': {}
 
-  '@clack/core@1.1.0':
+  '@clack/core@1.2.0':
     dependencies:
+      fast-wrap-ansi: 0.1.6
       sisteransi: 1.0.5
 
-  '@clack/prompts@1.1.0':
+  '@clack/prompts@1.2.0':
     dependencies:
-      '@clack/core': 1.1.0
+      '@clack/core': 1.2.0
+      fast-string-width: 1.1.0
+      fast-wrap-ansi: 0.1.6
       sisteransi: 1.0.5
 
-  '@e18e/eslint-plugin@0.2.0(eslint@10.2.1(jiti@2.4.0))':
+  '@e18e/eslint-plugin@0.3.0(eslint@10.2.1(jiti@2.4.0))':
     dependencies:
       eslint-plugin-depend: 1.5.0(eslint@10.2.1(jiti@2.4.0))
     optionalDependencies:
@@ -4314,6 +4359,14 @@ snapshots:
       esquery: 1.7.0
       jsdoc-type-pratt-parser: 7.1.1
 
+  '@es-joy/jsdoccomment@0.86.0':
+    dependencies:
+      '@types/estree': 1.0.8
+      '@typescript-eslint/types': 8.58.2
+      comment-parser: 1.4.6
+      esquery: 1.7.0
+      jsdoc-type-pratt-parser: 7.2.0
+
   '@es-joy/resolve.exports@1.2.0': {}
 
   '@esbuild/aix-ppc64@0.27.7':
@@ -4425,35 +4478,28 @@ snapshots:
     dependencies:
       '@eslint/core': 1.2.1
 
-  '@eslint/core@0.17.0':
-    dependencies:
-      '@types/json-schema': 7.0.15
-
   '@eslint/core@1.2.1':
     dependencies:
       '@types/json-schema': 7.0.15
 
-  '@eslint/markdown@7.5.1':
+  '@eslint/markdown@8.0.1':
     dependencies:
-      '@eslint/core': 0.17.0
-      '@eslint/plugin-kit': 0.4.1
+      '@eslint/core': 1.2.1
+      '@eslint/plugin-kit': 0.6.1
       github-slugger: 2.0.0
       mdast-util-from-markdown: 2.0.3
       mdast-util-frontmatter: 2.0.1
       mdast-util-gfm: 3.1.0
+      mdast-util-math: 3.0.0
       micromark-extension-frontmatter: 2.0.0
       micromark-extension-gfm: 3.0.0
+      micromark-extension-math: 3.1.0
       micromark-util-normalize-identifier: 2.0.1
     transitivePeerDependencies:
       - supports-color
 
   '@eslint/object-schema@3.0.5': {}
 
-  '@eslint/plugin-kit@0.4.1':
-    dependencies:
-      '@eslint/core': 0.17.0
-      levn: 0.4.1
-
   '@eslint/plugin-kit@0.6.1':
     dependencies:
       '@eslint/core': 1.2.1
@@ -5384,6 +5430,10 @@ snapshots:
 
   '@types/graphlib@2.1.12': {}
 
+  '@types/hast@3.0.4':
+    dependencies:
+      '@types/unist': 3.0.3
+
   '@types/istanbul-lib-coverage@2.0.6': {}
 
   '@types/istanbul-lib-report@3.0.3':
@@ -5396,6 +5446,8 @@ snapshots:
 
   '@types/json-schema@7.0.15': {}
 
+  '@types/katex@0.16.8': {}
+
   '@types/mdast@4.0.4':
     dependencies:
       '@types/unist': 3.0.3
@@ -5420,14 +5472,14 @@ snapshots:
     dependencies:
       '@types/yargs-parser': 21.0.3
 
-  '@typescript-eslint/eslint-plugin@8.57.1(@typescript-eslint/parser@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)':
+  '@typescript-eslint/eslint-plugin@8.58.2(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)':
     dependencies:
       '@eslint-community/regexpp': 4.12.2
-      '@typescript-eslint/parser': 8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
-      '@typescript-eslint/scope-manager': 8.57.1
-      '@typescript-eslint/type-utils': 8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
-      '@typescript-eslint/utils': 8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
-      '@typescript-eslint/visitor-keys': 8.57.1
+      '@typescript-eslint/parser': 8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@typescript-eslint/scope-manager': 8.58.2
+      '@typescript-eslint/type-utils': 8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@typescript-eslint/utils': 8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@typescript-eslint/visitor-keys': 8.58.2
       eslint: 10.2.1(jiti@2.4.0)
       ignore: 7.0.5
       natural-compare: 1.4.0
@@ -5448,12 +5500,12 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@typescript-eslint/parser@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)':
+  '@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)':
     dependencies:
-      '@typescript-eslint/scope-manager': 8.57.1
-      '@typescript-eslint/types': 8.57.1
-      '@typescript-eslint/typescript-estree': 8.57.1(typescript@6.0.3)
-      '@typescript-eslint/visitor-keys': 8.57.1
+      '@typescript-eslint/scope-manager': 8.58.2
+      '@typescript-eslint/types': 8.58.2
+      '@typescript-eslint/typescript-estree': 8.58.2(typescript@6.0.3)
+      '@typescript-eslint/visitor-keys': 8.58.2
       debug: 4.4.3
       eslint: 10.2.1(jiti@2.4.0)
       typescript: 6.0.3
@@ -5469,10 +5521,10 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@typescript-eslint/project-service@8.57.1(typescript@6.0.3)':
+  '@typescript-eslint/project-service@8.58.2(typescript@6.0.3)':
     dependencies:
-      '@typescript-eslint/tsconfig-utils': 8.57.1(typescript@6.0.3)
-      '@typescript-eslint/types': 8.57.1
+      '@typescript-eslint/tsconfig-utils': 8.58.2(typescript@6.0.3)
+      '@typescript-eslint/types': 8.58.2
       debug: 4.4.3
       typescript: 6.0.3
     transitivePeerDependencies:
@@ -5497,10 +5549,10 @@ snapshots:
       '@typescript-eslint/types': 8.56.1
       '@typescript-eslint/visitor-keys': 8.56.1
 
-  '@typescript-eslint/scope-manager@8.57.1':
+  '@typescript-eslint/scope-manager@8.58.2':
     dependencies:
-      '@typescript-eslint/types': 8.57.1
-      '@typescript-eslint/visitor-keys': 8.57.1
+      '@typescript-eslint/types': 8.58.2
+      '@typescript-eslint/visitor-keys': 8.58.2
 
   '@typescript-eslint/tsconfig-utils@8.56.1(typescript@6.0.3)':
     dependencies:
@@ -5510,11 +5562,15 @@ snapshots:
     dependencies:
       typescript: 6.0.3
 
-  '@typescript-eslint/type-utils@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)':
+  '@typescript-eslint/tsconfig-utils@8.58.2(typescript@6.0.3)':
     dependencies:
-      '@typescript-eslint/types': 8.57.1
-      '@typescript-eslint/typescript-estree': 8.57.1(typescript@6.0.3)
-      '@typescript-eslint/utils': 8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      typescript: 6.0.3
+
+  '@typescript-eslint/type-utils@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)':
+    dependencies:
+      '@typescript-eslint/types': 8.58.2
+      '@typescript-eslint/typescript-estree': 8.58.2(typescript@6.0.3)
+      '@typescript-eslint/utils': 8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
       debug: 4.4.3
       eslint: 10.2.1(jiti@2.4.0)
       ts-api-utils: 2.5.0(typescript@6.0.3)
@@ -5526,6 +5582,8 @@ snapshots:
 
   '@typescript-eslint/types@8.57.1': {}
 
+  '@typescript-eslint/types@8.58.2': {}
+
   '@typescript-eslint/typescript-estree@8.56.1(typescript@6.0.3)':
     dependencies:
       '@typescript-eslint/project-service': 8.56.1(typescript@6.0.3)
@@ -5541,12 +5599,12 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@typescript-eslint/typescript-estree@8.57.1(typescript@6.0.3)':
+  '@typescript-eslint/typescript-estree@8.58.2(typescript@6.0.3)':
     dependencies:
-      '@typescript-eslint/project-service': 8.57.1(typescript@6.0.3)
-      '@typescript-eslint/tsconfig-utils': 8.57.1(typescript@6.0.3)
-      '@typescript-eslint/types': 8.57.1
-      '@typescript-eslint/visitor-keys': 8.57.1
+      '@typescript-eslint/project-service': 8.58.2(typescript@6.0.3)
+      '@typescript-eslint/tsconfig-utils': 8.58.2(typescript@6.0.3)
+      '@typescript-eslint/types': 8.58.2
+      '@typescript-eslint/visitor-keys': 8.58.2
       debug: 4.4.3
       minimatch: 10.2.5
       semver: 7.7.4
@@ -5567,12 +5625,12 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  '@typescript-eslint/utils@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)':
+  '@typescript-eslint/utils@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)':
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.2.1(jiti@2.4.0))
-      '@typescript-eslint/scope-manager': 8.57.1
-      '@typescript-eslint/types': 8.57.1
-      '@typescript-eslint/typescript-estree': 8.57.1(typescript@6.0.3)
+      '@typescript-eslint/scope-manager': 8.58.2
+      '@typescript-eslint/types': 8.58.2
+      '@typescript-eslint/typescript-estree': 8.58.2(typescript@6.0.3)
       eslint: 10.2.1(jiti@2.4.0)
       typescript: 6.0.3
     transitivePeerDependencies:
@@ -5583,9 +5641,9 @@ snapshots:
       '@typescript-eslint/types': 8.56.1
       eslint-visitor-keys: 5.0.1
 
-  '@typescript-eslint/visitor-keys@8.57.1':
+  '@typescript-eslint/visitor-keys@8.58.2':
     dependencies:
-      '@typescript-eslint/types': 8.57.1
+      '@typescript-eslint/types': 8.58.2
       eslint-visitor-keys: 5.0.1
 
   '@ungap/structured-clone@1.3.0': {}
@@ -5643,12 +5701,13 @@ snapshots:
   '@unrs/resolver-binding-win32-x64-msvc@1.7.13':
     optional: true
 
-  '@vitest/eslint-plugin@1.6.12(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)(vitest@4.1.4(@types/node@24.12.2)(vite@7.3.1(@types/node@24.12.2)(jiti@2.4.0)(yaml@2.8.2)))':
+  '@vitest/eslint-plugin@1.6.16(@typescript-eslint/eslint-plugin@8.58.2(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)(vitest@4.1.4(@types/node@24.12.2)(vite@7.3.1(@types/node@24.12.2)(jiti@2.4.0)(yaml@2.8.2)))':
     dependencies:
-      '@typescript-eslint/scope-manager': 8.57.1
-      '@typescript-eslint/utils': 8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@typescript-eslint/scope-manager': 8.58.2
+      '@typescript-eslint/utils': 8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
       eslint: 10.2.1(jiti@2.4.0)
     optionalDependencies:
+      '@typescript-eslint/eslint-plugin': 8.58.2(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
       typescript: 6.0.3
       vitest: 4.1.4(@types/node@24.12.2)(vite@7.3.1(@types/node@24.12.2)(jiti@2.4.0)(yaml@2.8.2))
     transitivePeerDependencies:
@@ -6004,8 +6063,12 @@ snapshots:
 
   colorette@2.0.20: {}
 
+  commander@8.3.0: {}
+
   comment-parser@1.4.5: {}
 
+  comment-parser@1.4.6: {}
+
   common-tags@1.8.2: {}
 
   concat-map@0.0.1: {}
@@ -6174,12 +6237,12 @@ snapshots:
       eslint: 10.2.1(jiti@2.4.0)
       semver: 7.7.4
 
-  eslint-config-flat-gitignore@2.2.1(eslint@10.2.1(jiti@2.4.0)):
+  eslint-config-flat-gitignore@2.3.0(eslint@10.2.1(jiti@2.4.0)):
     dependencies:
       '@eslint/compat': 2.0.3(eslint@10.2.1(jiti@2.4.0))
       eslint: 10.2.1(jiti@2.4.0)
 
-  eslint-flat-config-utils@3.0.2:
+  eslint-flat-config-utils@3.1.0:
     dependencies:
       '@eslint/config-helpers': 0.5.5
       pathe: 2.0.3
@@ -6198,12 +6261,12 @@ snapshots:
     dependencies:
       eslint: 10.2.1(jiti@2.4.0)
 
-  eslint-plugin-command@3.5.2(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@typescript-eslint/typescript-estree@8.57.1(typescript@6.0.3))(@typescript-eslint/utils@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0)):
+  eslint-plugin-command@3.5.2(@typescript-eslint/rule-tester@8.56.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(@typescript-eslint/typescript-estree@8.58.2(typescript@6.0.3))(@typescript-eslint/utils@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0)):
     dependencies:
       '@es-joy/jsdoccomment': 0.84.0
       '@typescript-eslint/rule-tester': 8.56.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
-      '@typescript-eslint/typescript-estree': 8.57.1(typescript@6.0.3)
-      '@typescript-eslint/utils': 8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@typescript-eslint/typescript-estree': 8.58.2(typescript@6.0.3)
+      '@typescript-eslint/utils': 8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
       eslint: 10.2.1(jiti@2.4.0)
 
   eslint-plugin-depend@1.5.0(eslint@10.2.1(jiti@2.4.0)):
@@ -6220,16 +6283,16 @@ snapshots:
       eslint: 10.2.1(jiti@2.4.0)
       eslint-compat-utils: 0.5.1(eslint@10.2.1(jiti@2.4.0))
 
-  eslint-plugin-import-lite@0.5.2(eslint@10.2.1(jiti@2.4.0)):
+  eslint-plugin-import-lite@0.6.0(eslint@10.2.1(jiti@2.4.0)):
     dependencies:
       eslint: 10.2.1(jiti@2.4.0)
 
-  eslint-plugin-jsdoc@62.8.0(eslint@10.2.1(jiti@2.4.0)):
+  eslint-plugin-jsdoc@62.9.0(eslint@10.2.1(jiti@2.4.0)):
     dependencies:
-      '@es-joy/jsdoccomment': 0.84.0
+      '@es-joy/jsdoccomment': 0.86.0
       '@es-joy/resolve.exports': 1.2.0
       are-docs-informative: 0.0.2
-      comment-parser: 1.4.5
+      comment-parser: 1.4.6
       debug: 4.4.3
       escape-string-regexp: 4.0.0
       eslint: 10.2.1(jiti@2.4.0)
@@ -6276,9 +6339,9 @@ snapshots:
 
   eslint-plugin-no-only-tests@3.3.0: {}
 
-  eslint-plugin-perfectionist@5.7.0(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3):
+  eslint-plugin-perfectionist@5.9.0(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3):
     dependencies:
-      '@typescript-eslint/utils': 8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@typescript-eslint/utils': 8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
       eslint: 10.2.1(jiti@2.4.0)
       natural-orderby: 5.0.0
     transitivePeerDependencies:
@@ -6318,7 +6381,7 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  eslint-plugin-unicorn@63.0.0(eslint@10.2.1(jiti@2.4.0)):
+  eslint-plugin-unicorn@64.0.0(eslint@10.2.1(jiti@2.4.0)):
     dependencies:
       '@babel/helper-validator-identifier': 7.28.5
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.2.1(jiti@2.4.0))
@@ -6328,7 +6391,7 @@ snapshots:
       core-js-compat: 3.49.0
       eslint: 10.2.1(jiti@2.4.0)
       find-up-simple: 1.0.1
-      globals: 16.5.0
+      globals: 17.5.0
       indent-string: 5.0.0
       is-builtin-module: 5.0.0
       jsesc: 3.1.0
@@ -6338,13 +6401,13 @@ snapshots:
       semver: 7.7.4
       strip-indent: 4.1.1
 
-  eslint-plugin-unused-imports@4.4.1(@typescript-eslint/eslint-plugin@8.57.1(@typescript-eslint/parser@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0)):
+  eslint-plugin-unused-imports@4.4.1(@typescript-eslint/eslint-plugin@8.58.2(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0)):
     dependencies:
       eslint: 10.2.1(jiti@2.4.0)
     optionalDependencies:
-      '@typescript-eslint/eslint-plugin': 8.57.1(@typescript-eslint/parser@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@typescript-eslint/eslint-plugin': 8.58.2(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
 
-  eslint-plugin-vue@10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.2.1(jiti@2.4.0)))(@typescript-eslint/parser@8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(vue-eslint-parser@10.4.0(eslint@10.2.1(jiti@2.4.0))):
+  eslint-plugin-vue@10.8.0(@stylistic/eslint-plugin@5.10.0(eslint@10.2.1(jiti@2.4.0)))(@typescript-eslint/parser@8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3))(eslint@10.2.1(jiti@2.4.0))(vue-eslint-parser@10.4.0(eslint@10.2.1(jiti@2.4.0))):
     dependencies:
       '@eslint-community/eslint-utils': 4.9.1(eslint@10.2.1(jiti@2.4.0))
       eslint: 10.2.1(jiti@2.4.0)
@@ -6356,7 +6419,7 @@ snapshots:
       xml-name-validator: 4.0.0
     optionalDependencies:
       '@stylistic/eslint-plugin': 5.10.0(eslint@10.2.1(jiti@2.4.0))
-      '@typescript-eslint/parser': 8.57.1(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
+      '@typescript-eslint/parser': 8.58.2(eslint@10.2.1(jiti@2.4.0))(typescript@6.0.3)
 
   eslint-plugin-yml@3.3.1(eslint@10.2.1(jiti@2.4.0)):
     dependencies:
@@ -6502,6 +6565,16 @@ snapshots:
 
   fast-levenshtein@2.0.6: {}
 
+  fast-string-truncated-width@1.2.1: {}
+
+  fast-string-width@1.1.0:
+    dependencies:
+      fast-string-truncated-width: 1.2.1
+
+  fast-wrap-ansi@0.1.6:
+    dependencies:
+      fast-string-width: 1.1.0
+
   fastq@1.17.1:
     dependencies:
       reusify: 1.0.4
@@ -6612,9 +6685,7 @@ snapshots:
 
   globals@15.15.0: {}
 
-  globals@16.5.0: {}
-
-  globals@17.4.0: {}
+  globals@17.5.0: {}
 
   globby@11.1.0:
     dependencies:
@@ -7153,6 +7224,8 @@ snapshots:
 
   jsdoc-type-pratt-parser@7.1.1: {}
 
+  jsdoc-type-pratt-parser@7.2.0: {}
+
   jsesc@3.1.0: {}
 
   json-buffer@3.0.1: {}
@@ -7178,6 +7251,10 @@ snapshots:
       eslint-visitor-keys: 5.0.1
       semver: 7.7.4
 
+  katex@0.16.45:
+    dependencies:
+      commander: 8.3.0
+
   keyv@4.5.4:
     dependencies:
       json-buffer: 3.0.1
@@ -7365,6 +7442,18 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  mdast-util-math@3.0.0:
+    dependencies:
+      '@types/hast': 3.0.4
+      '@types/mdast': 4.0.4
+      devlop: 1.1.0
+      longest-streak: 3.1.0
+      mdast-util-from-markdown: 2.0.3
+      mdast-util-to-markdown: 2.1.2
+      unist-util-remove-position: 5.0.0
+    transitivePeerDependencies:
+      - supports-color
+
   mdast-util-phrasing@4.1.0:
     dependencies:
       '@types/mdast': 4.0.4
@@ -7480,6 +7569,16 @@ snapshots:
       micromark-util-combine-extensions: 2.0.1
       micromark-util-types: 2.0.2
 
+  micromark-extension-math@3.1.0:
+    dependencies:
+      '@types/katex': 0.16.8
+      devlop: 1.1.0
+      katex: 0.16.45
+      micromark-factory-space: 2.0.1
+      micromark-util-character: 2.1.1
+      micromark-util-symbol: 2.0.1
+      micromark-util-types: 2.0.2
+
   micromark-factory-destination@2.0.1:
     dependencies:
       micromark-util-character: 2.1.1
@@ -8197,6 +8296,11 @@ snapshots:
     dependencies:
       '@types/unist': 3.0.3
 
+  unist-util-remove-position@5.0.0:
+    dependencies:
+      '@types/unist': 3.0.3
+      unist-util-visit: 5.1.0
+
   unist-util-stringify-position@4.0.0:
     dependencies:
       '@types/unist': 3.0.3