Follow-up from "Clear merge request error on push to source branch"

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The following discussion from !32001 (merged) should be addressed:

• @stanhu started a discussion:

  The existing @merge_request has master as the source branch and feature as the target branch, which ends up being an empty diff. We should probably revisit that change as it's not representative of a "real" merge request, and so the does not clear merge errors test case would not be handled properly.

  I think we should refactor this test to use let_it_be and use this source branch, but I'll save that for another merge request.