chore: ensure examples are compiled on CI

.github/workflows/build-examples.yml

@@ -0,0 +1,42 @@
+name: Build and Test
+
+on:
+  merge_group:
+  workflow_dispatch:
+  pull_request:
+    branches: [main]
+  push:
+    branches: [main]
+
+permissions:
+  contents: read
+
+concurrency:
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: ${{ github.ref != 'refs/heads/main' }}
+
+env:
+  CACHE_KEY: "${{ github.ref }}-${{ github.run_id }}-${{ github.run_attempt }}"
+
+jobs:
+  test:
+    strategy:
+      matrix:
+        node: [ 20, 22 ]
+    name: Build Package
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout code
+        uses: actions/checkout@v4
+
+      - name: Setup Node.js with npm caching
+        uses: actions/setup-node@v4
+        with:
+          node-version: ${{ matrix.node }}
+          cache: "npm"
+
+      - name: Install dependencies
+        run: npm install
+
+      - name: Build Examples
+        run: npx turbo run build --filter="{./examples/*}"