I think 1. Qc1 Qh6+ 2. Kg1 Qh2+ 3. Kf1 Qxg2+ 4. Ke1 Qh1+ 5. Rf1 g2 (at least here White has more options to protect the King while avoiding Ra1 from Black. If Black makes any mistake then White may have the upper hand in this situation.
I think 1. Qc1 Qh6+ 2. Kg1 Qh2+ 3. Kf1 Qxg2+ 4. Ke1 Qh1+ 5. Rf1 g2 (at least here White has more options to protect the King while avoiding Ra1 from Black. If Black makes any mistake then White may have the upper hand in this situation.
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