NL5 - Do you 3barrel for value vs fish here?

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NL5 - Do you 3barrel for value vs fish here?

Blinds: $0.02/$0.05 (6 Players) CO: $2.49
BN: $5.54
SB: $10.89
BB: $4.86
UTG: $5.24 (Hero)
MP: $5.07
Preflop ($0.07) Hero is UTG with 8 8
Hero raises to $0.15, MP folds, CO calls $0.15, 3 folds
villain is a fish. 37 hands and his vpip/pfr is 54/19 and also has open limped a few times until now.
Flop ($0.37) 4 2 2
Hero bets $0.21, CO calls $0.21
Turn ($0.79) 4 2 2 4
Hero bets $0.46, CO calls $0.46
River ($1.71) 4 2 2 4 7
Hero bets $2.00, CO calls $1.67 and is all in
It all depends on how villain defends on flop and turn. I think maybe we should check on river. This is based on 2 scenarios I made on Flopzilla. One where he called pre with about 35% and one other where he called about 25% pre. In the 1st one, he has many more full houses by the river because his range also has A4o, A2o, K4s and K2s which makes it a bad play to value bet 88. For both scenarios 88 isn't good to value bet on river unless he calls way too much on the river. There are many flushes that he will have completed... All this are based on my assumptions. I probably did some mistakes. So, what do you think it's the correct play here?
Final Pot CO lost and shows two pair, Fours and Threes.
UTG wins and shows two pair, Eights and Fours.
UTG wins $4.84
Rake is $0.21

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