$10-$10 300bb deep bottom set

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$10-$10 300bb deep bottom set

https://www.youtube.com/watch?v=O5wGIPhWCpM&t=222s

Five handed game
BTN is recreational player who uses large sizings for protection.

Preflop
five handed $10-$10
Hero opens HJ to $40
CO folds
BTN 3bets to $120
blinds folds
Hero calls.

Flop ($260) 9h-6c-4d
Hero X
BTN cbet $140
Hero XR to $340
BTN 3bets to $1,040
Hero calls.

Turn ($2,340) 9h-6c-4d-Qh
Both Check

River ($2,340) 9h-6c-4d-Qh-9s
Hero ($2040) ?

I was hoping someone could put this in PIO as didn't really get a clear answer on what the correct river sizing should be. I was also curious how PIO balances it's bluffs & value in this spot.

I would give HJ about a 20% opening range
BTN I was thinking can 3 bet as high at 13%, but that may be high given he is a recreational player.

I was thinking jam all in basically on the flop as 1/3 of the stack is already in. Don't want A K Q to kill action from JJ type hand. As played I think hero should be jamming river putting AA-KK in a tough spot, but hero really only has 3 combos of bluffs with 87s, not sure if hero should ever turn JJ or TT into a bluff. Also I think if btn is aggro, then he should have some A9s, 98s, T9s, and J9s in his range, which has to call river as well, but I think maybe only A9s 3 bets the flop in btn's range.

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