If the character that was already dead, dies?
Nothing, they can't die. They're a Petitioner. They're in the afterlife. They exist in Arborea until they basically achieve Nirvana.
Going off what I recall from 2e planescape lore
Edit: I'm not so sure now, maybe petitioners can be killed. Hold up I have the box set right here
Edit edit: I'm not finding what I'm looking for from my books. But I think Petitioners can die, though I feel like they re-form on their plane until they're Done With Their Thing. The idea was that the Afterlife is a place you can visit, and the dead people there are trying to be "united" with the essence of their plane, sorta. You're NG so you go to the NG plane and there you work out your cosmic debt or what have you till you can just be a part of NG Heaven forever, and so on