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A difficult puzzle. Nice,
Black plays d6 on 3rd move and suddenly its no longer mate in 4 lol.
If 3... d6? 4. Nf6#
Alternative solution based on a different move by black - try it out!
Interesting try, but black has two choices on move three which avoid mate in four in your line: 3...h6 and 3...h5.
Look at my puzzle again in the move list, I actually gave 2 lines - one of which is still good and will be the main one now. The line you refer to will appear as alternate:
So as you could see: 2... Kg8 3. Bc4!? h5 (or h6) 4. Nxe7+ Kh7 5. Qf7+ Kh8 6. Bf6#
Kind of obvious
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