add: docs deploy ci job

.github/workflows/deploy.yml

@@ -0,0 +1,26 @@
+name: Deploy
+on:
+  push:
+    branches:
+      - main
+permissions:
+  contents: write
+  id-token: write
+
+jobs:
+  documentation:
+    name: update documentations on gitHub pages
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v3
+      - uses: actions/setup-python@v4
+        with:
+          python-version: 3.11
+      - uses: actions/cache@v2
+        with:
+          key: ${{ github.ref }}
+          path: .cache
+      - run: |
+          pip install --upgrade pip
+          pip install .[docs]
+      - run: mkdocs gh-deploy --force