Clean up gitlab_quality_test-tooling product_group usage

This issue is to clean up gitlab_quality_test-tooling product_group usage related to

gitlab-org/ruby/gems/gitlab_quality-test_tooling!325 (merged)

to revisit and merge

gitlab-org/ruby/gems/gitlab_quality-test_tooling!320

Some complexity to this follows the epic description:

Determine DRI failure issue assignment where to continue using product_group and SETs assignment (e.g., https://gitlab.com/gitlab-com/www-gitlab-com/blob/master/data/stages.yml?ref_type=heads#L657) or whether to remove until gitlab-org/quality&154 is handled (where SET issue assignment isn't very useful with the stable counterpart model having ended)