Crazy cool computer moves in a game analysis (King's gambit accepted)

I was watching a video from GM Niclas Huschenbeth where he played lytura in an online game. Amazingly he lost, but that is what happens when you underestimate your opponent, which I think was what actually went wrong. At the end of the video it was difficult to see exactly what White could have done after a point, so I analysed the game with the computer and found some amazing moves. First I will show you the original game. I urge you to think it through and see what moves you would have done differently, like a chess puzzle, before you watch the game as the computer suggested it. You can also watch the video online at the end of the post and, if you like chess, I really recommend Huschenbeth's channel. Not only is he a great player, but also a decent and nice guy and young, too. His Blitz & Talk GM Special videos are especially cool, since he plays with other world class grand masters.

But enough of that. Here is the game, up to a point where it didn't really matter what happened: 1. e4 e5 2. f4 exf4 3. Nf3 g5 4. Nc3 g4 5. Ne5 Qh4+ 6. g3 fxg3 7. Qxg4 g2+ 8. Qxh4 gxh1=Q 9. Qh5 Nh6 10. d3 d6 11. Bxh6 Be6 12. Bxf8 Rxf8 13. Nf3 Nd7 14. O-O-O c6 15. Bh3 Nf6 16. Rxh1 Nxh5 17. Bf1 Rg8 18. Ne2 Kd7 19. Kd2 Rg7 20. Ke3 Rag8 21. a3 Nf6 22. h3 b6 23. d4 a5 24. Nf4 Rg3 25. Ne2

Here is the video of the game, to give you the time to think it through:


And finally, here are two lines that the computer recommended. This is considering that the fateful 10. d3 was played already: 1. e4 e5 2. f4 exf4 3. Nf3 g5 4. Nc3 g4 5. Ne5 Qh4+ 6. g3 fxg3 7. Qxg4 g2+ 8. Qxh4 gxh1=Q 9. Qh5 Nh6 10. d3 d6 11. Bxh6 Be6 12. Bxf8 Rxf8 13. Nf3 Nd7 14. O-O-O c6 15. Nb5 Nf6 (15. .. cxb5 16. Bh3 Qxd1+ 17. Kxd1 O-O-O 18. Bxe6 fxe6 19. Nd4 {White +1.2}) 16. Nxd6+ Kd7 17. Qh3 Bxh3 18. Bxh3+ Kxd6 19. Rxh1 {Black +0.3}

Did you see those Nb5 and Qh3 moves?! Who does that? :)