on move 18 moving castle to G4 was a better forced mate
longer but technically better.
every move would have been forced rather than giving you time to move that queen 1 last time
actually if white moves Qd5 then white can stop the mate after 19... Bd5 20. cxd5 then white has time to move the rook to f2 regardless of black's move
If, by castle, you mean rook...
I guess 18...Rg4 could force mate in under 10 moves (and every move would definitely not be forced), but 18...Qh4 is a forced mate in 3. The only thing white can do to delay mate is 19.Qd5+.
I think you should try to get rid of the idea of forcing moves as "technically better." There is nothing technically better about them, in any way. I think that you have just come to prefer them, as they are easier for you to guarantee that you have calculated correctly. If you try to get rid of this habit, and start giving thought to what your opponent can achieve after your move, your game will undoubtedly improve.
18...Rxh2+ also forces mate in three (although it is not technically better!)
18...Rxh2+ 19.Kxh2 Qh4+ 20.Kg1 Qg3#
18...Rxh2+ 19.Kg1 Qg6+ 20.Kxh2 Qg2#
Pretty much everything works after move 17 or so. Even 18)....Rxd2 threatening Qg6 mate.
An earlier error was Bd3, hindering d3, chasing his knight and freeing your queens bishop. Instead Bc3 may look like it's blocked in, but it would support c pawn advance, which you are happy to swap as it is doubled.
Look at 10)Nxf7. If he takes, Qh5+, the d pawn falls and you recover the knight unless he moved his king to e6 (unlikely) or f8, in which case holding it may be problematic for him. If he declines the sac, Ng5 looks good.
mpt_fz, I don't know if your message is true or not, but the delivery of said message sucks. Perhaps you'll explain why it sucks, and what the OP can do to remedy it?
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