White to move and checkmate in 6.
R7/7k/4N2p/3p4/1npNbR2/4n2P/pr1r2P1/7K w – – 0 1
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1. Ra7+ Kg6
2. Rg7+ Kh5
3. Rh4+ Kxh4
4. Nf5+ Bxf5
5. g3+ Kh5
6. Nf4#
or
1. Ra7+ Kg6
2. Rg7+ Kh5
3. Rh4+ Kxh4
4. Nf5+ Nxf5
5. Rg4+ Kh5
6. Nf4#
You missed on first variation one posibility for black. On move 5. g3+, black can play Kxh3, but 6. Nf4# still mates 🙂