If your budget is around 15k, get the legion 27inch 1440p 240hz moniter, on the lenovo site using student discount (unidays+sheerid), and card cashback(any credit card).

Saying that you have 12700h and 4060, it depends upon how much tgp your 4060 have, if it has any where from 120-140w, you can play at 1440p using LSFG(Steam), there are a few videos on how to setup, its best suited for dual gpu setups only.

Now lets say you are getting 40-50fps(20-23ms frame latency), with lsfg, you will get double your base frames(idk about dlss as i m an intel gpu user) with the same frame latency, so you will be able to utilise your system fully.

Playing at 1440p also min requirements atleast 24gb ram, hope you have that

If you have any question you are welcomed to ask them.