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100 NL co srp shoudl I vb river COvB?

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100 NL co srp shoudl I vb river COvB?

Blinds: $0.50/$1.00 (6 Players) MP: $102.50
CO: $113.85 (Hero)
BN: $197.70
SB: $114.52
BB: $174.57
UTG: $103.30
villain has a 4% cold call, and a 8% 3 bet.
Preflop ($1.50) Hero is CO with K A
2 folds, Hero raises to $3.00, BN calls $3.00, 2 folds
Flop ($7.50) K 8 5
Hero bets $4.29, BN calls $4.29
Turn ($16.08) K 8 5 8
Hero bets $11.52, BN calls $11.52
River ($39.12) K 8 5 8 7
Hero checks, BN checks
should I vb here? considering his insanely low cold call I was thinking he might not even have a hand like KJ, in which case I beat KQ, and lose to 55 88, but I wasn't sure if he has KQ every time (he could sometimes 3 bet). perhaps there could be some A8s and 87s type hands as well?

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