Luz has been back in the Human Realm for a week, and she is not doing well. So, at her girlfriend's insistence, she reluctantly goes on the first real date with Amity in the human realm that she promised she'd go with. It turns out to be exactly what she needed.
What if Amity had been bold enough to give Luz the note during the Grom episode? Here's my speculation as to how it would've happened.