Add make file target for testing images

[ElijahQuinones]

What type of PR is this?

/kind feature

What is this PR about? / Why do we need it?

This PR adds a make file target which builds and pushes images to our ECR and then ensures that all images are pushed successfully. This will be used for a CI job after this is approved

How was this change tested?

Manually running the make file target

Does this PR introduce a user-facing change?

Add image build and push testing 

[github-actions]

Code Coverage Diff

This PR does not change the code coverage

[torredil]

Largely lgtm - discussed offline and we agreed it would be best to let the janitor handle cleanup (which might require submitting a PR to kubernetes-sigs/boskos/aws-janitor, separately). This is also more consistent with the existing build-image.sh.

[AndrewSirenko]

Left two optional comments, otherwise lgtm (assuming CI job will work once we turn it on in test-infra).

Thanks for hopefully catching a few future makefile + hack script regressions a bit earlier!

[k8s-ci-robot]

New changes are detected. LGTM label has been removed.

[k8s-ci-robot]

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