well, considering that there must be a way to heal (it's clear why), it's most likely that it will become available after helping the Mist, so my vote is obvious. all other options are possible, but unlikely. I generally doubt that the fake Sharon knows anything; most likely, she's just a pawn who has to play a role, and other people will advise him. he probably doesn't know about the cure either, where to get it, and so on. and if we return to the lair, then again, we'll probably find nothing, or maybe even people
Where do we end up when we save the world?