Is a flop bet mandated here?

[Eeegah]

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You likely wont fold out everyone but can clean up some outs.

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No you can't. Anyone who has you reverse dominated easily has odds to call the flop, and no one has a better A or Q. So do gutshots. Flush draws ain't folding either. The only outs you have a chance of cleaning up are a long A[img]/images/graemlins/spade.gif[/img] or K[img]/images/graemlins/spade.gif[/img], but that's not hugely unlikely.