puzzle 8:
First candidate line that seems to make sense:
1. Bxg6 xa4
2. xf6 xg6
3. Rae1 (many responses exist here but they all seem to end the same so I will go with the simple Qxe1 since it seems to be blacks best reply, if I am wrong here please let me know)
4. Rxe1+ ...Now this is where it gets interesting between the 4 choices available.
If ...Kd7 then 5. Re7+ Kc8 (because Kd8 is met with 6. xg7 Rg8, 7. Rxb7+ Ke8, 8. Ne6#) 6. Nd6+ Kd8 since the other option is mate in 1 then 7. Nxb7+ Kc8, 8. Nd6+ Kd8, 9. Nf7+ Kc8, 10. Nxh8 and black is down 2 minor pieces going into an endgame with terrible pawn structure, restricted king and rook. So Kd7 is no good.
If...Kd8 then 5. xg7+ Kd7 (trying to save losing his rook to a queening pawn) 6. Re7+ which sets up mate the next move anyway with a queening pawn regardless of which square the king moves to so move 4. ...Kd8 is no good.
If...Kf7 then 5. Re7+ Kf8 (Kg8 is met with 6. Rxg7+ Kf8, 7.Ne5 Ke8, 8.f7+ Kf8 is forced 9. Bf6 and any move black makes here is met with Nxg6#) so back to the line. 6. xg7+ Kg8, 7. xh8=Q+ 8.Rxb7 and black is down 2 minor pieces with terrible pawn structure. So move 4. ...Kf7 is no good.
Finally, If ...Kf8 then 5. xg7+ Kxg7 (he must recapture to avoid losing in one of the methods above after Re7+) 6. Re7+ Kg8, 7. Rxb7 and white would have 2 pieces for a rook. Black's pawn structure would be destroyed on the queenside and white would have a 3 to 2 pawn advantage on the kingside.
And after contemplating and calculating all of this over a good 2 hours hahahaha, I decided to look it up and I see that I was on something of the right path. Of course, some responses aren't forced in the first few moves that I typed up, but I think the moves in the actual game kind of solve that issue.
Tbh, I didn't even realize this thread was 200+ comments deep until after I submitted rofl!! I'll take a look though