Add push workflow to test Docker build

.github/workflows/push.yaml

@@ -0,0 +1,19 @@
+name: Push
+
+on:
+  push: {}
+  pull_request:
+    branches: [ main ]
+  workflow_dispatch: {}
+
+jobs:
+  test-build:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+
+      - name: Build
+        timeout-minutes: 10
+        run: |
+          docker build .