Make docker tag-push depend on contributed recipes in CI

[mathbunnyru]

Describe your changes

Issue ticket if applicable

Checklist (especially for first-time contributors)

• I have performed a self-review of my code
• If it is a core feature, I have added thorough tests
• I will try not to use force-push to make the review process easier for reviewers
• I have updated the documentation for significant changes

[mathbunnyru]

We have a build where all the images were built and tested and therefore pushed to the registry: https://github.com/jupyter/docker-stacks/actions/runs/14375821119
But quite a simple recipe fails.

We should not push our images if recipes like this fail, so recipes can be viewed as tests for our images.