[crunchy1]

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Calls. Check-raising here will do absolutely nothing except build the pot, and your equity edge is not all that great here

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Yucky!

You have a pretty good situation here to check/raise the flop. The bet came from relatively late position and you've got a great chance to eliminate 40% of the remaining players. Check-raising has good potential to drive out the BB and UTG which increases Hero's chances of winning the pot. His equity edge, however big or small it might be, is unquestionably favorable. That, in isolation of other factors, is enough to justify a bet, raise or checkraise. Checking and calling here is simply not extracting value from the hand and allowing other players with weak draws better odds to continue.

Straight/Flush draws are going to call regardless. The best Hero can do is hope that they miss and make them pay for trying. Hero check-calling the flop does not keep the pot size to such a minimum where it would be incorrect for these hands to call a donk-bet on the turn. The pot on the turn is going to be 5BBs which is giving good odds for many hands to call (and many hands that shouldn't call but will anyways at the 2/4 level). If Hero check/calls the flop and allows BB/UTG to continue cheap this, IMO, makes trying to checkraise the turn even more horrible (it's much worse now for Hero if the turn gets checked through).

Check/raise the flop. Lead the turn.