Even in my best case scenario where I get the job I'm interviewing for this week, it's still going to be a month at least before I can move out. They've completely rejected my identity, with no interest in trying to understand. I don't think it's going to change any time soon, if at all. So how do I try and interact with them vaguely normally until I can get out?

I don't want to get into fights over it, I just don't have the energy, I can't do anything about the misgendering or anything else. But I also need something better than just feeling tense and resentful until I move out.

EDIT: To be a little clearer, my question isn't so much how do I literally engage with them, and more how do I manage, to use not quite the right term, the emotional labour of pretending I'm okay talking with them like I always have. That's where I'm struggling right now; how do I keep doing this without feeling like shit?