Resolve "[QA] Group filtering fails when filter text field is filled before the group list is fully loaded leading to "Path has already been taken" error QA tries to create a bew subgroup"

What does this MR do?

This ensures groups filtering does not happen before the groups list is loaded.

What are the relevant issue numbers?

Does this MR meet the acceptance criteria?

• [-] Changelog entry added, if necessary
• [-] Documentation created/updated
• [-] Tests added for this feature/bug
• Conforms to the code review guidelines
• Conforms to the merge request performance guidelines
• Conforms to the style guides
• Conforms to the database guides

Closes #50974 (closed)