fix(site): add astro check CI and reduce errors/hints

.github/workflows/website-tests.yml

@@ -36,3 +36,39 @@ jobs:
 
       - name: Run website tests
         run: pnpm exec turbo run test --filter=site
+
+  astro-check:
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Checkout code
+        uses: actions/checkout@v5
+
+      - name: Setup pnpm
+        uses: pnpm/action-setup@v4
+
+      - name: Setup Node.js
+        uses: actions/setup-node@v5
+        with:
+          node-version: 22
+          cache: pnpm
+
+      - name: Install dependencies
+        run: pnpm install
+
+      - name: Cache turbo build setup
+        uses: actions/cache@v5
+        with:
+          path: .turbo
+          key: ${{ runner.os }}-turbo-${{ github.sha }}
+          restore-keys: |
+            ${{ runner.os }}-turbo-
+
+      - name: Build packages
+        run: pnpm build:packages
+
+      - name: Generate site content
+        run: cd site && pnpm api-docs && pnpm ejected-skins
+
+      - name: Astro check
+        run: cd site && pnpm astro check --minimumSeverity warning