Computer-Generated Chess Problem 02757

Contemplate this 'KQRN vs kqn' chess puzzle or problem (whichever you wish to call it) composed by a computer program, Chesthetica, using the Digital Synaptic Neural Substrate AI computational creativity method. Depending on the type and complexity of the problem desired, a single instance of Chesthetica running on a desktop computer can probably generate anywhere between one and ten problems per hour.

3Q4/8/8/3R1NK1/1q2k3/n7/8/8 w - - 0 1
White to Play and Mate in 3
Chesthetica v11.42 (Selangor, Malaysia)
Generated on 23 Sep 2019 at 9:38:33 AMSolvability Estimate = Difficult
Chesthetica, especially if running on multiple computers or operating system user accounts, is capable of generating far too many compositions than can be published in a timely fashion here. The newer ones will therefore only be published some time later. This is why the composition date above does not match today's date. White is significantly ahead in material. Try to solve this as quickly as you can. If you like it, please share with others. If you're bored of standard chess, though, why not try this?
Solution
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