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Took me a few minutes to find the second move- didn’t immediately recognize the mate with the rook:
1. Qh4 Ng4 (f4 2.Qf4#)
2. Qe7! Be7 (Ne5 3.Qe5#)
3. Rd4#
1.Qf7 with mate on e6 so Re8
2.Qb3 and mate next?
1.Qh4 Ng4 2.Qe7 Be7 3.Rd4
Qh4+ Ng4, Qe7+ Bxe7, Rd4 mate
Queen h4 check, knight g4
Queen e7 check Bishop takes e7 and rook d4 mate
Qh4+ Ng4
Qe7+ Ne5
QxNe5#
1. Qh4+ Ng4
2. Qe7+! Bxe7
3. Rd4#
Q h4 Check Ng4 Qe7 Check Be7 Rd4 Check mate.