[25NLZ] Facing river 1/3 pot in a 3 barreled pot

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[25NLZ] Facing river 1/3 pot in a 3 barreled pot

Blinds: $0.10/$0.25 (6 Players) BN: $48.34 (Hero)
SB: $28.00
BB: $20.00
UTG: $33.33
MP: $20.29
CO: $18.27
Hi guys, villain is unknown but on the weaker size given his sizings and his stack.
Preflop ($0.35) Hero is BN with J J
3 folds, Hero raises to $0.67, SB folds, BB raises to $1.50, Hero calls $0.83
Vs unknown, no reasons to 4bet here I guess?
Flop ($3.10) 6 9 5
BB bets $1.50, Hero calls $1.50
Turn ($6.10) 6 9 5 K
BB checks, Hero checks
when he checks, I assume his range is made of mildly-stronk hands such as KQ and AK, along with some scared 99/TT-QQs, and some give ups.
River ($6.10) 6 9 5 K 5
BB bets $3.10, Hero folds
So we need to be good 25% of the time. My problem in this kind of spots is that villain has for sure 0% Equity hands to bluff with, but would he bluff them? Nothing can help me guessing that. Do we play MDF in this kind of spots? If so, I guess my hand is a call. But on the other side, it seems like the average player tends to underbluff in this spot... So I don't know at all what to do here. I saw that my WWSF% in pots where I get 3bet is really weak, so I'm looking for spots like this where I feel like my hand is on the threshold of folding/calling. Thanks!
Final Pot BB wins $5.80
Rake is $0.30

I saw that my WWSF% in pots where I get 3bet is really weak, so I'm looking for spots like this where I feel like my hand is on the threshold of folding/calling. Thanks!

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