fix(docs): publish doc to repository github page

.github/workflows/ci.yml

@@ -49,6 +49,13 @@ jobs:
 
   docs:
     runs-on: ubuntu-latest
+    permissions:
+      contents: read
+      pages: write
+      id-token: write
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
     steps:
       - uses: actions/checkout@v5
 
@@ -65,4 +72,18 @@ jobs:
 
       - name: Build documentation
         run: uv run mkdocs build --strict
-        continue-on-error: true
+
+      - name: Setup Pages
+        if: github.ref == 'refs/heads/main'
+        uses: actions/configure-pages@v5
+
+      - name: Upload artifact
+        if: github.ref == 'refs/heads/main'
+        uses: actions/upload-pages-artifact@v3
+        with:
+          path: ./site
+
+      - name: Deploy to GitHub Pages
+        if: github.ref == 'refs/heads/main'
+        id: deployment
+        uses: actions/deploy-pages@v4