ci: add webui build test

.github/workflows/build.yml

@@ -28,6 +28,43 @@ jobs:
           mkdir -p config
           pytest
 
+  webui-test:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+
+      - name: Install Node.js
+        uses: actions/setup-node@v4
+        with:
+          node-version: 20
+
+      - uses: pnpm/action-setup@v4
+        name: Install pnpm
+        with:
+          version: 9
+          run_install: false
+
+      - name: Get pnpm store directory
+        shell: bash
+        run: |
+          echo "STORE_PATH=$(pnpm store path --silent)" >> $GITHUB_ENV
+
+      - uses: actions/cache@v4
+        name: Setup pnpm cache
+        with:
+          path: ${{ env.STORE_PATH }}
+          key: ${{ runner.os }}-pnpm-store-${{ hashFiles('**/pnpm-lock.yaml') }}
+          restore-keys: |
+            ${{ runner.os }}-pnpm-store-
+
+      - name: Install dependencies
+        run: cd webui && pnpm install
+
+      - name: build test
+        run: |
+          cd webui && pnpm vue-tsc --noEmit
+
   version-info:
     runs-on: ubuntu-latest
     steps: