ci(github-actions): add doc publish action

Author: Lee-W

.github/workflows/docpublish.yml

@@ -0,0 +1,27 @@
+name: Publish documentation
+
+on:
+  push:
+    branches:
+      - master
+
+jobs:
+  publish-documentation:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - name: Install the latest version of uv
+        uses: astral-sh/setup-uv@v6
+      - name: Build docs
+        env:
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+        run: |
+          uv run --group docs mkdocs build
+      - name: Push doc to Github Page
+        uses: peaceiris/actions-gh-pages@v4
+        with:
+          github_token: ${{ secrets.GITHUB_TOKEN }}
+          publish_branch: gh-pages
+          publish_dir: ./site
+          user_name: "github-actions[bot]"
+          user_email: "github-actions[bot]@users.noreply.github.com"