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1. Qf6+ Ka2
2. Qfa6+ Qa3
3. Qaxa3#
1. Qf6+ Qc3
2. Qfxc3+ Ka2
3. Qa3#
1. Qg7+ Qb2 2. Qa3+ Kb1 3. Qxb2#
1. … Qc3 2. Qdxc3+ Kb1/a2 3. Qb2#
1. … Ka2 2. Qa7+ Qa3 3. Qaxa3#
Unless we are overlooking something, I see mate in 3 with both 1.Qg7 and 1. Qf6 as above.