need help finding manga again

what i can recall is this manga starting out with the uke playing an otome game bc be saw girls in his school playing it, so he got curious and started to try it out for himself. he was playing it in the school bathroom?? idk why, but while he was playing it he fell into the toilet. when he fell inside he got transported into the game and was like "ahhh wtf help"!!! he proceeded to wake up inside the game and i remember that the seme or ML asked for his name or the game was just like "whats your name? type here", and the uke said smth random. i do remember when the lead of the game took pictures of himself on the ukes phone, and OMG HE WAS SO CUTEEEE. i also remem when the seme was like "sleep with me" but he actually meant like.. sleep.. no sex.. just sleep.. theres also this ninja dude who is super hot with a scar on his face, and the main leads long white hair guard. the genre of the game is historical, and the seme calls the uke some feminine term like little smth or princess