Bump JamesIves/github-pages-deploy-action from 4.1.4 to 4.4.0 (#13953)

Bumps [JamesIves/github-pages-deploy-action](https://github.com/JamesIves/github-pages-deploy-action) from 4.1.4 to 4.4.0.
- [Release notes](https://github.com/JamesIves/github-pages-deploy-action/releases)
- [Commits](https://github.com/JamesIves/github-pages-deploy-action/compare/4.1.4...v4.4.0)

---
updated-dependencies:
- dependency-name: JamesIves/github-pages-deploy-action
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

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

Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

.github/workflows/docs-deploy.yml

@@ -58,7 +58,7 @@ jobs:
           make html --jobs 2
 
       - name: Deploy 🚀
-        uses: JamesIves/github-pages-deploy-action@4.1.4
+        uses: JamesIves/github-pages-deploy-action@v4.4.0
         with:
           token: ${{ secrets.GITHUB_TOKEN }}
           branch: gh-pages # The branch the action should deploy to.