The real world is irrelevant in this game, this is a fantasy game.
Also whether or not the school has a gym is also irrelevant.
Based on the fact that the MC mentions he can't afford the gym he visits in episode 2, it's obviously not on campus.
FFS, I don't know what's worse the dick girl incest theories or the boomer arguments that go in circles for 5 pages.
So to make clear, there can be a gym on a campus or there can be no gym, at the end of the day, doesn't matter, the tri alpha gym is not on campus. YAY for breaking the boomer circle jerk.