It sounds like she has moved the relationship from lovers to roommates. You are trying to see if it can move back to being lovers.
I think you should decide if you enjoy her as a friend and as a roommate. If so, is it worth supporting her? If it is, then maybe long term, it could turn back into lovers again. But it doesn't really sound like this would be good for you. She cheated on you before and it doesn't really sound like she has changed. So you would have a hard time trusting her.
I think she is just biding her time until she find another relationship to go to. I have been in a similar circumstance. However, I was ok giving money to help my ex-girlfriend move out and be with her new boyfriend. I even gave her $500 a month for half a year to help out. I still cared for her, but we were not getting along.