[yegon]

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quick glance and giving him a range of 55+, AJo+ (since many TAGs call 3bets with PPs liberally), it looks like there are probably are around 40 combos or so that he might continue with Ax, AA, TT and probably 30 or 40 he'll fold. So I guess bet 1/2 pot. should be profitable. but i always check here, so i probably have no idea what i'm doing (i.e., don't listen to me).

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if it's 50/50 that he'll fold than a full pot bet should be profitable so it's ok to bet 3/4 of the pot.

But I don't see anything wrong with betting half pot as you suggested. The pot is big because of the pf 3bet so it's unlikely he'll bluff or continue with worse than JJ.