Update GitHub Actions workflows. (#848)

This PR was triggered by @t0yv0 generated by the
update-workflows-ecosystem-providers workflow in the pulumi/ci-mgmt
repo, from commit
[4cbd027aa555ac5a576d57358400a2e24e329c2c](4cbd027aa5).

Co-authored-by: Pulumi Bot <bot@pulumi.com>

.github/actions/setup-tools/action.yml

@@ -14,7 +14,7 @@ runs:
   using: "composite"
   steps:
     - name: Setup mise
-      uses: jdx/mise-action@c6a35e2d7dc8cf1493e7465af7460b4748cd4806
+      uses: jdx/mise-action@590bfd78fa3e93efd2e7ea21d65d397118ac1430
       env:
         MISE_FETCH_REMOTE_VERSIONS_TIMEOUT: 30s
       with:

.github/workflows/claude.yml

@@ -56,7 +56,7 @@ jobs:
           PR_NUMBER: ${{ github.event.pull_request.number || github.event.issue.number }}
         run: gh pr checkout "$PR_NUMBER"
       - name: Setup mise
-        uses: jdx/mise-action@c6a35e2d7dc8cf1493e7465af7460b4748cd4806
+        uses: jdx/mise-action@590bfd78fa3e93efd2e7ea21d65d397118ac1430
         env:
           MISE_FETCH_REMOTE_VERSIONS_TIMEOUT: 30s
         with:
@@ -79,7 +79,7 @@ jobs:
           (github.event_name == 'pull_request_review_comment' && contains(github.event.comment.body, '@claude review')) ||
           (github.event_name == 'pull_request_review' && contains(github.event.review.body, '@claude review'))
         id: claude-review
-        uses: anthropics/claude-code-action@034cbdb008291e7eeeac420d315fc3b45fca3781 # v1
+        uses: anthropics/claude-code-action@476e359e6203e73dad705c8b322e333fabbd7416 # v1
         with:
           anthropic_api_key: ${{ steps.esc-secrets.outputs.ANTHROPIC_API_KEY }}
           prompt: |
@@ -101,7 +101,7 @@ jobs:
           !contains(github.event.comment.body, '@claude review') &&
           !contains(github.event.review.body, '@claude review')
         id: claude-action
-        uses: anthropics/claude-code-action@034cbdb008291e7eeeac420d315fc3b45fca3781 # v1
+        uses: anthropics/claude-code-action@476e359e6203e73dad705c8b322e333fabbd7416 # v1
         with:
           anthropic_api_key: ${{ steps.esc-secrets.outputs.ANTHROPIC_API_KEY }}
           # This allows claude to read github action logs

.github/workflows/lint.yml

@@ -49,7 +49,7 @@ jobs:
         private-key: ${{ steps.esc-secrets.outputs.PULUMI_PROVIDER_AUTOMATION_PRIVATE_KEY }}
         owner: ${{ github.repository_owner }}
     - name: Setup mise
-      uses: jdx/mise-action@c6a35e2d7dc8cf1493e7465af7460b4748cd4806
+      uses: jdx/mise-action@590bfd78fa3e93efd2e7ea21d65d397118ac1430
       env:
         MISE_FETCH_REMOTE_VERSIONS_TIMEOUT: 30s
       with: