Bump JamesIves/github-pages-deploy-action from 4.1.6 to 4.4.3

Bumps [JamesIves/github-pages-deploy-action](https://github.com/jamesives/github-pages-deploy-action) from 4.1.6 to 4.4.3.
- [Release notes](https://github.com/jamesives/github-pages-deploy-action/releases)
- [Commits](JamesIves/github-pages-deploy-action@4.1.6...v4.4.3)

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

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

.github/workflows/build_docs.yml

@@ -36,7 +36,7 @@ jobs:
 
     - name: Publish to gh-pages if tagged
       if: startsWith(github.ref, 'refs/tags')
-      uses: JamesIves/github-pages-deploy-action@4.1.6
+      uses: JamesIves/github-pages-deploy-action@v4.4.3
       with:
         branch: gh-pages
         folder: doc/_build/html