looking for this manhwa where the MC is a girl with pink hair, and she's a princess who's ...

looking for this manhwa where the MC is a girl with pink hair, and she's a princess who's attending a magic academy in another country that has prestige in being open to people of all backgrounds. i think she does it for a goal, smth like she wants money to be able to stop smth bad from happening (i think she transmigrated or smth into a story setting, and there's like this evil plot happening that she's trying to stop/avoid). minimal romance at the beginning (idk about later, never got there), but if there was a ML, it would be this dark-haired boy who i think was the original antagonist of the novel, who is another student and isn't well-liked by others (i think). He's part of the main cast, but tbh the story follows MC and her vibes for the beginning, and doesn't really focus on him more than they focus on other secondary characters of the main cast. pretty early on these two, despite getting on each others' nerves, get each others' mutual respect, and are those typical friendships where ur friend is an obvious dumbass, but you also end up becoming a dumbass when you hang out around them. they also started this club bc for some reason they couldn't join others, and it's mandatory to be a part of one (think: bullshit occult clubs that are started in these comedy manhwas when students rlly just need to have smth on paper. i think MC made this club with the purpose of doing some type of magical research that's necessary for her goal). the other girl who joins is this timid female student with glasses who was being bullied by this jackass dude for being poor, and MC stood up against him. she turns out to be lowkey OP, i think, or at least has hidden potential.

MC's student uniform looks like a cape, i think. it's blue robes or smth. she has blueish eyes but they're kinda fragmented? like yellowish in some aspects or smth, but tbh the artist didn't focus on detailing her that much- like everyone looks like normal kids, which i appreciate. i think MC has this little sidekick animal thing, too.