Error in Laszlo Polgar's Puzzle book?

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richybacan
EndgameStudent escribió:

Here's a diagram for 1827 where black has a delaying move to make it a mate in 3 for the solution first move. Houdini gives a multitude of other mate in 3's.

0-0-0 mate

ouki
#71. Mate in one. White to move.
Correct move is 1.Ne5# But why not 1.Nh6# too?