How do you know not to take in this endgame?

I ran into a stalemate position without thinking. Looking back, I thought a better approach would be to queen the pawn, and then grab the h pawn (appearing to be a pawn up with good mating possibilities). Stockfish is showing mate in 30 before taking, and draw if the h pawn is taken. So, how do you know without calculating this? It's 30 moves if you don't take, and I see my Stockfish 16 is approaching depth 80 when it is taken to maintain a draw. Is there a quicker way to know you shouldn't take the h pawn?

(Starting from move 48.)

TBH, I would take the h6 pawn too before going after the a5 pawn. Then promotes the a pawn. I'm sure black feels lucky to escape with the draw. The calculation involved is a Long one. It's most likely black won't play perfect to secure the draw if it's a human opponent.

I honestly would have taken in a bullet or blitz game. This is why Grandmasters use a lot of time. They would come up with this

Wait a second... I think you made a mistake earlier in that exact same endgame

I ran this through https://syzygy-tables.info/ and it appears that white wins no matter what, with the exception Kf7 which creates a stalemate. I may be reading/using it wrongly though.

For what it is worth, something may have been seen earlier, but after black plays 42. .... h6, I see a clear win for white. Either your played move 43. g6+ or 43. gxh6 wins.

My question was about move 50 (variation line) and calculation. I know there are moves that could have been played before, but that is not what I was asking for. Avoiding the question by addressing a previous move doesn't address the question.

HOW DO YOU KNOW NOT TO TAKE THE PAWN IN THIS POSITION? 

you calculate if it is

Counting.

You just play the white moves in your mind as if Black never moves. Then you play in your mind the moves for Black as if White never moves.

I already know "bar's rule", this shouldn't be too hard.