ci: build examples in CI

.github/workflows/test.yml

@@ -12,6 +12,7 @@ jobs:
     needs:
       - build-bench
       - build-dist
+      - build-examples
       - build-flatpak
       - build-freebsd
       - build-linux
@@ -87,6 +88,42 @@ jobs:
       - name: Build Benchmarks
         run: nix develop -c zig build -Demit-bench
 
+  build-examples:
+    strategy:
+      fail-fast: false
+      matrix:
+        dir: [zig-vt]
+    name: Example ${{ matrix.dir }}
+    runs-on: namespace-profile-ghostty-sm
+    needs: test
+    env:
+      ZIG_LOCAL_CACHE_DIR: /zig/local-cache
+      ZIG_GLOBAL_CACHE_DIR: /zig/global-cache
+    steps:
+      - name: Checkout code
+        uses: actions/checkout@08c6903cd8c0fde910a37f88322edcfb5dd907a8 # v5.0.0
+
+      - name: Setup Cache
+        uses: namespacelabs/nscloud-cache-action@a289cf5d2fcd6874376aa92f0ef7f99dc923592a # v1.2.17
+        with:
+          path: |
+            /nix
+            /zig
+
+      # Install Nix and use that to run our tests so our environment matches exactly.
+      - uses: cachix/install-nix-action@a809471b5c7c913aa67bec8f459a11a0decc3fce # v31.6.2
+        with:
+          nix_path: nixpkgs=channel:nixos-unstable
+      - uses: cachix/cachix-action@0fc020193b5a1fa3ac4575aa3a7d3aa6a35435ad # v16
+        with:
+          name: ghostty
+          authToken: "${{ secrets.CACHIX_AUTH_TOKEN }}"
+
+      - name: Build Example
+        run: |
+          cd example/${{ matrix.dir }}
+          nix develop -c zig build -Demit-bench
+
   build-flatpak:
     strategy:
       fail-fast: false