How do dorms/college apps work when you're trans?

My dream university is pretty lgbtq accepting but far so I'd have to dorm. I'm in a state where u need bottom surgery proof to be able to change ur legal sex marker. How does applying for a dorm work can I just say I'm male and they don't care? Or will they need ask for my birth certificate or some proof I'm me and see I'm female? Will I be allowed to be in a male dorm? I pass like 85/90% of the time I'm getting top surgery before i start. I'm only a junior so I have zero idea how college applications work. Can I just apply to college as male?