Personally, I think the gen ed department will lose, but the president will have some classic manga bullshit "well ok I see your sincerity, I guess I won't ruin the lives of hundreds of students because of own personal brainworms."
I would prefer it if we instead got a 'gen ed department wins, president has to eat crow' sort of development. Not every villain in a school-based romcom series has get treated with kid gloves.