I'm uncertain of what the logic is in this case, but I was caught out as a result because:
1.) Move function is NOT bi-directional! You can only move once and to one group.
2.) Once a form has been moved to a Group, it is no longer selectable from the drop-down list in Power Automate (Flow) logic.
3.) Any existing Power Automate logic that had been preconfigured to use the said form, now fails to function.
The only fix for this is to manually recreate the form from the perspective of the account identity (service account, etc) that is used to create the Flow logic, then reconfigure the objects and expressions in the flow to make it functional again.
Now we know what we lose by moving a form to a Group, can someone explain what it is we gain again?
😕