Use the new 'failed-test-issues' script to report test failures

What does this MR do and why?

The new script was introduced with gitlab-org/ruby/gems/gitlab_quality-test_tooling!180 (merged) (in 1.22.0 of the gem: https://gitlab.com/gitlab-org/ruby/gems/gitlab_quality-test_tooling/-/releases).

This will also start to apply gitlab-org/ruby/gems/gitlab_quality-test_tooling!182 (merged), which is part of the 1.23.0 version of the gem.

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