build(deps): bump actions/stale from 9 to 10

Bumps [actions/stale](https://github.com/actions/stale) from 9 to 10.
- [Release notes](https://github.com/actions/stale/releases)
- [Changelog](https://github.com/actions/stale/blob/main/CHANGELOG.md)
- [Commits](https://github.com/actions/stale/compare/v9...v10)

---
updated-dependencies:
- dependency-name: actions/stale
  dependency-version: '10'
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <support@github.com>

.github/workflows/close-inactive-issues.yml

@@ -11,7 +11,7 @@ jobs:
       issues: write
       pull-requests: write
     steps:
-      - uses: actions/stale@v9
+      - uses: actions/stale@v10
         with:
           days-before-issue-stale: 200
           days-before-issue-close: 5

.github/workflows/publish-immutable-actions.yml

@@ -17,4 +17,4 @@ jobs:
         uses: actions/checkout@v5
       - name: Publish
         id: publish
-        uses: actions/publish-immutable-action@v0.0.4
+        uses: actions/publish-immutable-action@0.0.3

.github/workflows/release-new-action-version.yml

@@ -24,7 +24,7 @@ jobs:
     steps:
     - name: Update the ${{ env.TAG_NAME }} tag
       id: update-major-tag
-      uses: actions/publish-action@v0.4.0
+      uses: actions/publish-action@v0.3.0
       with:
         source-tag: ${{ env.TAG_NAME }}
         slack-webhook: ${{ secrets.SLACK_WEBHOOK }}