update_gh_pages.yaml

name: "Update GitHub Pages"
# Name of this action (else will name after the commits)
run-name: Rebuild book and upload to GH pages

# Perform action upon pushes to the main branch
on:
  push:
    branches:
      - main

jobs:
  docs:
    runs-on: ubuntu-latest
    permissions:
      contents: write
    steps:
      - uses: actions/checkout@v3
      - uses: actions/setup-python@v3
      - name: Install dependencies
        run: |
          pip install sphinx sphinx_rtd_theme myst_parser
      - name: Build HTML
        uses: ammaraskar/sphinx-action@master
        with:
          # Builds using Makefile, with docs for book in current directory
          docs-folder: "."
      - name: Deploy to GitHub Pages
        uses: peaceiris/actions-gh-pages@v3
        with:
          publish_branch: gh-pages
          # Location of your index.html file to produce the book
          publish_dir: _build/html/
          # Not a personal access token - GitHub Actions runner makes one
          github_token: ${{ secrets.GITHUB_TOKEN }}