Saw some discussion on twitter about how Kaz's love language is acts of service, which I'd say it totally is, especially based on the books (though some things do double as gifts too).
But for maximum angst, what if his love language when he was younger used to be touch. (and I mean that in a general sense, not a romantic one, since love languages can also apply to how people show love to friends/family).
Imagine him having touch as a love language but never being able to express it anymore because of his trauma (or the fact he had no one to express it to anyway for a long time, growing up tough in the Barrel on his own). Anyway, there's a daily dose of Kaz Brekker angst for you.