it was found in webnovel.com it started it the MC saving the ML’s lil bro while playing basketball. The MC is dressed like a boy for som reason and hides it very well. She’s a duke of a kingdom I think and she and the prince are like frenemies. She likes food a lot and can be bribed very easily with it but only sometimes. That’s all I remember
Sounds a bit like NoGift, she has a twin sister, and has to pretend to be male so she can inherit and fend off (i believe it were the greedy relatives). I don't recall there being a basketball scene, but she does have sort of a relationship between the prince, and i believe her rank is duke? her sister is completely a bro-con (sis- con?) MC is also an inventor from a future world, and starts doing somehting similar in this one.