Add docker build to testing

.github/workflows/linting_testing.yml

@@ -58,3 +58,17 @@ jobs:
 
       - name: Build Project
         run: pnpm build
+
+  docker:
+    name: Build docker
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Checkout code
+        uses: actions/checkout@v4
+
+      - name: Set up Docker Buildx
+        uses: docker/setup-buildx-action@v3
+
+      - name: Build
+        uses: docker/build-push-action@v5