No clue at all - "fork"

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Mojobr

Don't ask how I ended up in this position, I'm a complete noob when it comes to chess. I'm trying to learn, so every game I play I watch the feedback. 

This time it stumped me, and it might be super obvious for you. It tells me I should've gone ng3+, and not f3. If I do ng3+ ("fork"), why don't white g3xng3 (or however you say it), trying to learn that as well. In layman terms, if I move my knight to G3, why can't white simply delete the threat by taking Knight with pawn from H2 -> G3?

Fr3nchToastCrunch

After Ng3+, white cannot accept the sacrificed knight, as fxg3+ is a discovered attack on the extremely exposed king (notice the rook on f8) that would surely result in its demise. Granted, white is already screwed in this position, but with that they would have lost even faster.