Add test job to Docker publish workflow

.github/workflows/docker-publish.yml

@@ -13,8 +13,27 @@ env:
   IMAGE_NAME: ${{ github.repository_owner }}/prompts.chat
 
 jobs:
+  test:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v4
+
+      - name: Setup Node.js
+        uses: actions/setup-node@v4
+        with:
+          node-version: '24'
+          cache: 'npm'
+
+      - name: Install dependencies
+        run: npm ci
+
+      - name: Run tests
+        run: npm test
+
   build-and-push:
     runs-on: ubuntu-latest
+    needs: test
     permissions:
       contents: read
       packages: write