only if they’re single-occupant bathrooms. which. for schools… are usually not going to be the case. personally, that should be the solution. just rip out both bathrooms, install single occupant cells. nobody cares what you are. the only sign needed is an ‘occupied’/‘vacant’ on the latch.
(edit: well, you’d still have to have a placard with braille on it so blind people can know what kind of room it is.)