Bump github/branch-deploy from 9 to 10

Bumps [github/branch-deploy](https://github.com/github/branch-deploy) from 9 to 10.
- [Release notes](https://github.com/github/branch-deploy/releases)
- [Commits](github/branch-deploy@v9...v10)

---
updated-dependencies:
- dependency-name: github/branch-deploy
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <[email protected]>

Author: dependabot[bot]

.github/workflows/branch-deploy.yml

@@ -42,7 +42,7 @@ jobs:
       # conditionally trigger steps/deployments.
       - name: Start Branch Deployment
         id: branch-deploy
-        uses: github/branch-deploy@v9
+        uses: github/branch-deploy@v10
         with:
           environment: github-pages
           environment_targets: github-pages