Use GitHub pages to host docs

.github/workflows/build.yml

@@ -37,3 +37,32 @@ jobs:
       - uses: actions/upload-artifact@v3
         with:
           path: dist/*.tar.gz
+
+  build_docs:
+    name: Build documentation
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Install dependencies
+        run: pip install .[docs]
+
+      - name: Build documentation
+        run: python -m sphinx -b html docs public
+
+      - uses: actions/upload-artifact@v3
+        with:
+          path: ./public
+
+
+  # Deploy job
+  deploy:
+    needs: build_docs
+    environment:
+      name: github-pages
+      url: ${{ steps.deployment.outputs.page_url }}
+    runs-on: ubuntu-latest
+    steps:
+      - name: Deploy to GitHub Pages
+        id: deployment
+        uses: actions/deploy-pages@v2