A few tests are creating thousands of test health issues

Problem statement

Those two test files created 4000+ test health issues (1, 2).

It is most likely related to Remove :failed category when receiving a non-su... (gitlab-org/gitlab!166329 - merged).

Goals

1. Ensure we stop those test health issues from being created
2. Think about adapting automation to prevent future ones
3. (Optional) Fix the original test flakiness

Exit Criteria

• We quarantined the test files
  • Done in gitlab-org/gitlab!186581 (merged)
• (Optional) We fixed the underlying flakiness issue
  • I proposed solutions in Fix test, and ensure the test description doesn... (gitlab-org/gitlab!186589 - closed)
• We ensure the RSpec test description does not contain a timestamp (this is until a more general fix is available)
  • Done in Fix test, and ensure the test description doesn... (gitlab-org/gitlab!186589 - closed) as well
• We cleaned up those test health issues
  • ✅ (1, 2)