Bump peaceiris/actions-gh-pages from 3.9.3 to 4.0.0

Bumps [peaceiris/actions-gh-pages](https://github.com/peaceiris/actions-gh-pages) from 3.9.3 to 4.0.0.
- [Release notes](https://github.com/peaceiris/actions-gh-pages/releases)
- [Changelog](https://github.com/peaceiris/actions-gh-pages/blob/main/CHANGELOG.md)
- [Commits](peaceiris/actions-gh-pages@v3.9.3...v4.0.0)

---
updated-dependencies:
- dependency-name: peaceiris/actions-gh-pages
  dependency-type: direct:production
  update-type: version-update:semver-major
...

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

Author: dependabot[bot]

.github/workflows/gh-pages.yml

@@ -51,7 +51,7 @@ jobs:
         run: make html
 
       - name: GitHub Pages [main]
-        uses: peaceiris/actions-gh-pages@v3.9.3
+        uses: peaceiris/actions-gh-pages@v4.0.0
         if: ${{ github.ref == 'refs/heads/main' }}
         with:
           github_token: ${{ secrets.GITHUB_TOKEN }}
@@ -64,7 +64,7 @@ jobs:
           user_email: 'github-actions[bot]@users.noreply.github.com'
 
       - name: GitHub Pages [PR]
-        uses: peaceiris/actions-gh-pages@v3.9.3
+        uses: peaceiris/actions-gh-pages@v4.0.0
         if: ${{ github.event.pull_request && github.event.action != 'closed' }}
         with:
           github_token: ${{ secrets.GITHUB_TOKEN }}
@@ -88,7 +88,7 @@ jobs:
 
       - name: Publish release
         if: startsWith(github.ref, 'refs/heads/release')
-        uses: peaceiris/actions-gh-pages@v3.9.3
+        uses: peaceiris/actions-gh-pages@v4.0.0
         with:
           github_token: ${{ secrets.GITHUB_TOKEN }}
           destination_dir : next_release
@@ -104,7 +104,7 @@ jobs:
 
       - name: Publish tag
         if: startsWith(github.ref, 'refs/tags/')
-        uses: peaceiris/actions-gh-pages@v3.9.3
+        uses: peaceiris/actions-gh-pages@v4.0.0
         with:
           github_token: ${{ secrets.GITHUB_TOKEN }}
           destination_dir : ${{ steps.capture_tag.outputs.tag_number }}