Add test stage to docs

.github/workflows/docs.yml

@@ -12,6 +12,25 @@ permissions:
   id-token: write
 
 jobs:
+  test:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v4
+      - name: Install python
+        uses: actions/setup-python@v4
+        with:
+          python-version: 3.x
+      - name: Setup cache
+        uses: actions/cache@v2
+        with:
+          key: ${{ github.ref }}
+          path: .cache
+      - name: Setup dependencies
+        run: pip install -r docs/requirements.txt
+      - name: Build docs
+        run: mkdocs build --strict
+
   build:
     runs-on: ubuntu-latest
     steps: