Investigate if we want/need to reduce the numbers of tests we run

[metacosm]

          What I would propose is also take a look how this would look like, if we would just remove the testing of various client flavors, and remove the integration test categories as a separate PR and maybe compare with this approach. (Can try later just quite sick atm)

Originally posted by @csviri in #2691 (comment)

[csviri]

note that we still get rate limited here: https://github.com/operator-framework/java-operator-sdk/actions/runs/13536093625/job/37828008803?pr=2705

cc @xstefank

[xstefank]

Yes, unfortunately minikube start will itself ping github to get kube versions. No way around it, so we need to limit the number of jobs.