Spoiler alert for a possible outcome of this situation:
Meli has indeed stolen the locket, because it looked like his mother's. When Barth hears this, he gives the locket to Meli, saying that Meli needs it more than he himself.
I think it is a very sweet and touching scene. It's very sad when you realize these kids are not only (most likely) orphans, but have been literally through hell (Elturel, the city where the Tieflings are from, had been dragged into Avernus and returned to the material plane shortly before the events of BG3)
If you are not a Criminal this is the best outcome.
If you have the Criminal background you are screwed:
https://forums.larian.com/ubbthreads.php?ubb=showflat&Main=100722&Number=813362#Post813362I also just noticed that the questline for the background might not be available if
a) Aradin and his gang are not in the Druid Grove from the beginning, but in the wilderness (after the dispute with Zevlor)
b) if Aradin and Zevlor's dispute is settled and they are persuaded to stay, then they are in the Druid Grove for a while, but at some point they are no longer there...