help me please!!!!

hello! i’m looking for a manhwa i dont know the name! the story is about a fl who is a huge fan of a character in a game and she somehow enters an otome game full of vampires, and since she’s a human everyone wants to kick her out. however, the ml is obligated to take her in and protect her (he doesn’t do it out of the kindness of his heart tho, typical cold ml smh). after that, he takes her to his dorm where the fl recounts over the events that happen in the game and promises to protect her favourite character from dying. the setting is of some harry potter type school, the fl has white hair and purple eyes(??) while the ml has black hair and blue eyes. that’s all i remember please help me find the manhwa! ⁄(⁄ ⁄·⁄ω⁄·⁄ ⁄)⁄