[2/16] ci: check the game with node 22 on pull requests

.github/workflows/game.yml

@@ -0,0 +1,37 @@
+name: Game
+on:
+  pull_request:
+    paths:
+      - game/**
+      - .github/workflows/game.yml
+  push:
+    branches: [main]
+    paths:
+      - game/**
+      - .github/workflows/game.yml
+permissions:
+  contents: read
+concurrency:
+  group: game-${{ github.event.pull_request.number || github.ref }}
+  cancel-in-progress: true
+jobs:
+  game:
+    runs-on: ubuntu-latest
+    timeout-minutes: 10
+    defaults:
+      run:
+        working-directory: game
+    steps:
+      - uses: actions/checkout@v7
+      - uses: actions/setup-python@v5
+        with:
+          python-version: '3.13'
+      - uses: actions/setup-node@v7
+        with:
+          node-version: '22'
+          cache: npm
+          cache-dependency-path: game/package-lock.json
+      - run: npm ci
+      - run: npm run typecheck
+      - run: npm test
+      - run: npm run build