Bump kubernetes/cloud-provider-aws 1-35 release branch to latest release

Author: eks-distro-pr-bot

UPSTREAM_PROJECTS.yaml

@@ -187,7 +187,7 @@ projects:
             go_version: "1.24"
           - tag: v1.34.0
             go_version: "1.24"
-          - tag: v1.35.0
+          - tag: v1.35.1
             go_version: "1.25"
       - name: cloud-provider-vsphere
         versions:

projects/kubernetes/cloud-provider-aws/1-35/ATTRIBUTION.txt

@@ -83,7 +83,7 @@ https://github.com/yaml/go-yaml
 ** k8s.io/apimachinery/pkg; version v0.35.0 --
 https://github.com/kubernetes/apimachinery
 
-** k8s.io/cloud-provider-aws/cmd/ecr-credential-provider; version v1.35.0 --
+** k8s.io/cloud-provider-aws/cmd/ecr-credential-provider; version v1.35.1 --
 https://github.com/kubernetes/cloud-provider-aws
 
 ** k8s.io/component-base; version v0.35.0 --

projects/kubernetes/cloud-provider-aws/1-35/CHECKSUMS

@@ -1,2 +1,2 @@
-3c16acc86f17dbb1c359913fd63addec298afd8cc4bdbfe67c82603989179ee6  _output/1-35/bin/cloud-provider-aws/linux-amd64/ecr-credential-provider
-ff12db8a562153f0e92ba91ae7d16ae3b1b6252317d67e5a9ec0249fff32c269  _output/1-35/bin/cloud-provider-aws/linux-arm64/ecr-credential-provider
+d9a5278388961c7f712f49e320e8735be3d108bb981544c3bab216a12778eb5f  _output/1-35/bin/cloud-provider-aws/linux-amd64/ecr-credential-provider
+e42d45994b92d22cbbdec1a9f444286196d3a4f1260b28d5b4b89129723ea8d6  _output/1-35/bin/cloud-provider-aws/linux-arm64/ecr-credential-provider

projects/kubernetes/cloud-provider-aws/1-35/GIT_TAG

@@ -1 +1 @@
-v1.35.0
+v1.35.1