who's the ml? the other prince who healed her or the chef guy?!?

It got to be the prince right? My bets are on him

also hoping it'll be him(๑•ㅂ•)و✧

Same

I understood that they are the same person. That's why he knew she was "Lana" even though she was dressed as the rich version of herself. In addition, it seems he dyes his hair when he is posing as the prince and undyes it to work as the head chef for Lana.
So, basically, this is a "Duke's daughter who doesn't want anything to do with nobility falls in love with her co-worker who is the brother of her ex-fiance, prince of the country who also doesn't want anything to do with nobility and who loves her"

he washed the color OUT of his hair though right? so my bet is on him being the cloaked customer who doesn't show his face but always checks up on the Inn to see her

that would make more sense ngl

I think that too(≡^∇^≡)