Run smoke tests before Docker builds

https://github.com/pypa/gh-action-pypi-publish/pull/230#discussion_r1787027821

.github/workflows/build-and-push-docker-image.yml

@@ -14,8 +14,13 @@ on:   # yamllint disable-line rule:truthy
         type: string
 
 jobs:
+  smoke-test:
+    uses: ./.github/workflows/reusable-smoke-test.yml
   build-and-push:
+    if: github.event_name != 'pull_request'
     runs-on: ubuntu-latest
+    needs:
+    - smoke-test
     timeout-minutes: 10
     steps:
     - uses: actions/checkout@v4
@@ -39,17 +44,11 @@ jobs:
       env:
         DOCKER_TAG: ${{ inputs.tag || github.ref_name }}
     - name: Log in to GHCR
-      if: github.event_name != 'pull_request'
       run: >-
         echo ${{ secrets.GITHUB_TOKEN }} |
           docker login ghcr.io -u $GITHUB_ACTOR --password-stdin
     - name: Push Docker image to GHCR
-      if: github.event_name != 'pull_request'
       run: |
         docker push $IMAGE
         docker push $IMAGE_MAJOR
         docker push $IMAGE_MAJOR_MINOR
-  smoke-test:
-    needs:
-    - build-and-push
-    uses: ./.github/workflows/reusable-smoke-test.yml