Dunno if this has been discussed, but I find their buddy-cop dynamic totally weird.
Kate supposedly worships Clint, and then they also have her unimpressed by Clint, feeling the need to comment on his life, the way he acts, etc. And it hasn't exactly been presented as a 'Don't meet your heroes' scenario, with Kate being disappointed that Clint is way more of a mess than she would have thought.
And on the other end, Clint finding Kate annoying also seems to rub up against his selflessness of trying to help her. It just feels like they awkwardly pushed for this banter-filled dynamic when the characters aren't in that place yet.
Also, LARPing as a joke feels quite dated and out of place. We're supposed to laugh at a bunch of nerds, in one of the nerdiest franchises ever.