Fix container registry API e2e test

What does this MR do and why?

Fixes the constant failure of #414767 (closed). After investigating, the root cause is related to having assigned project runners who do not have the necessary configuration to run docker in docker, getting stuck on starting the service.

However, by removing the project runner tag from the CI file will depend on picking up GitLab runners (which are configured to run DinD). That, at times due to infra workload, fails. There is an increase in waiting for the pipeline to start to give a larger time.

MR acceptance checklist

This checklist encourages us to confirm any changes have been analyzed to reduce risks in quality, performance, reliability, security, and maintainability.

• I have evaluated the MR acceptance checklist for this MR.