Yet another PUZZLE post

Hello. Probably I don't see something in this puzzle, once again.

But... After (white) Qg4, the right 1st move is (black) Rc1.

Now comes (white) Kh2, where I would play Nf2; then , whatever white does, I really see a mate with Rh1. My (wrong) solution.

The solution is, instead, to sacrifice Rh1 (Kxh1) and then fork King and Queen with Nf2.

I saw it's wrong, but I really don't see an issue with my mating try...

Can anyone help me??

Without looking too deeply, white moves the queen to d7 with check and probably pawn to g4 giving the white king an escape square, though that depends on black's move to get out of check.

Thanks for your answer. Idk, to me Nf2 should lock the king in h2... Although surely the white Queen left alone could probably go on checking.

This is an example line, though black's better move is going to be g/h8 as after kg3 black has some issues. Even with the king on one of those squares, black is going to lose a couple of pawns at a minimum.

Yes Rh1+ seems to be the best forcing line, winning the queen and the game.