I'm probably going to be in the minority here but: mental/physical health >>>>>>>> any professional reputation. If the situation is as dire as you claim it is

I'm probably going to be in the minority here but: mental/physical health >>>>>>>> any professional reputation. If the situation is as dire as you claim it is then ask for a medical leave and if rejected quit immediately. There are work arounds to bad references and it seems like you have only been working at this place for a couple of months anyway. It's not the most professional thing to do but at the end of the day it's just a job and you can recover while enjoying good health. Anecdote: Worked with a kid who basically had a nervous breakdown from the stress of the project. He ended up getting escorted out of the building anyway due to erratic behavior and timed missed from work. It's not worth it imo.