Are you and your mom both on a lease of the apartment or does she own it? If you are both on the lease, I’d just stay in the apartment when mom goes to assisted living. That would eliminate necessity of moving? Is it possible?
On the other hand if your sister has POA and is the one making decisions, I’d probably not stay living with mom and be her caregiver. I am not saying you have to abandon your mom, but living arrangements seem to be not working. Whoever takes elderly parent in or otherwise takes care of them, should have POA. Or could both people share POA?
Did you move in to take care of mom? And now you have no power to decide what’s best for her? I am confused. Sounds frustrating.
Our dad is still ok, mom just passed

if one day dad won’t be ok anymore we’d take him in but we’d either share POA or whoever takes him in, will have POA. If sister has POA, she’d better take care of mom.