uhhhhh.... ok
The rook is lost no matter what!

That is pretty cool I have to admit although I think you should have posted the more interesting variation(s).
Evil_Homer wrote:
What if it goes to f8 for instance.
...Rf8 1. Nc5+ Kb8 2. Nd7+ Kc8 3. Nxf8
The same is true for every other move, the rook is won in two or three moves from Kg3.

Henry22 wrote:
Evil_Homer wrote:
What if it goes to f8 for instance. ...Rf8 1. Nc5+ Kb8 2. Nd7+ Kc8 3. Nxf8 The same is true for every other move, the rook is won in two or three moves from Kg3.
Thank you, it now makes sense.
From the OP, it was not clear if it was supposed to be 1 move, 6 moves or 100 moves!

Yes, the rook is lost and the game is most likely to be a draw (unless black walk into the checkmate)
this shows that the rook is lost no matter what squares it moves to