docs: update build action

.github/workflows/build-site.yaml

@@ -2,14 +2,28 @@ name: build-website
 on:
   push:
     branches:
+      - master 
       - main
+permissions:
+  contents: write
 jobs:
   deploy:
     runs-on: ubuntu-latest
     steps:
-      - uses: actions/checkout@v2
-      - uses: actions/setup-python@v2
+      - uses: actions/checkout@v4
+      - name: Configure Git Credentials
+        run: |
+          git config user.name github-actions[bot]
+          git config user.email 41898282+github-actions[bot]@users.noreply.github.com
+      - uses: actions/setup-python@v5
         with:
-          python-version: '3.x'
-      - run: pip install mkdocs-material mknotebooks 'mkdocstrings[crystal,python]'
-      - run: mkdocs build
+          python-version: 3.x
+      - run: echo "cache_id=$(date --utc '+%V')" >> $GITHUB_ENV 
+      - uses: actions/cache@v4
+        with:
+          key: mkdocs-material-${{ env.cache_id }}
+          path: .cache
+          restore-keys: |
+            mkdocs-material-
+      - run: pip install mkdocs-material 
+      - run: mkdocs gh-deploy --force