ci(docker-publish): 👷 Update workflow to trigger certain steps only on push events

- Modify conditions to ensure `docker/login-action` runs only on push
- Add condition to gate `docker/publish-action` execution on push event

.github/workflows/docker-publish.yml

@@ -27,7 +27,7 @@ jobs:
       - uses: docker/setup-qemu-action@v3
       - uses: docker/setup-buildx-action@v3
       - name: Login to GitHub Container Registry
-        if: github.event_name != 'pull_request'
+        if: github.event_name == 'push'
         uses: docker/login-action@v3
         with:
           registry: ghcr.io
@@ -59,3 +59,4 @@ jobs:
           subject-name: ghcr.io/${{ github.repository }}
           subject-digest: ${{ steps.build.outputs.digest }}
           push-to-registry: true
+        if: github.event_name == 'push'