GG Poker - $0.02 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BTN: 627 BB
SB: 153 BB
Hero (BB): 180 BB
UTG: 100 BB
MP: 240.5 BB
CO: 366 BB

SB posts SB 0.5 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has J 6

fold, fold, fold, BTN raises to 3 BB, fold, Hero calls 2 BB

Flop: (6.5 BB, 2 players) J 4 5
Hero checks, BTN bets 5.5 BB, Hero calls 5.5 BB

Turn: (17.5 BB, 2 players) 3
Hero checks, BTN bets 14 BB, Hero calls 14 BB

River: (45.5 BB, 2 players) 4
Hero checks, BTN bets 604.5 BB and is all-in, Hero ?

Don't post results even in a spoiler.

This deep you can turn your hand into a bluff with the 6 kicker and check raise the turn. If he had say QQ or AJ he's going to be really unhappy knowing he's facing a shove otr when you can have 67...

As played you just gotta fold otr. I don’t think he's doing with TT AK... all or those are checking back. The thing to remember is you might be catching some bluffs some of the time but doing so is a loosing play over the long run when villians take this line.

appreciate for your reply
It’s help a lot
If I’ll raise the turn. what size should I raise?

I don't think we need to turn this hand into a bluff on the turn when we have so much showdown value. There are better hands in our range to do this with like 46s or 56s, Kc6c.

As played, you have to fold river.

I actually called the turn because of the showdown value as you say
But I ran the hand in GTO solver, it also showed it is a high frequency to raise the turn.
I'm confusing now.

btw, I'm not a native English speaker, sorry if there is any misunderstanding

No, you should not bluff catch here. Your opponent is almost never bluffing. People do not take this line without having a monster. They expect you to have something and want you to call. We have only put in 22.5 BB by the river. Villain is shoving 157.5 BB into a 45.5 BB pot. We need to win ~44% of the time to break even on a call. Without a read our opponent will probably bluff less than 5% of the time.

GTO Poker Theory will not be reliable in this situation. People simply bet smaller with their bluffs (1/2 pot to full pot) and over bet jam for ~160 BB with all of their strongest hands. No need to ever put this much in on the river with a weak made hand at $2 buy ins. There are so many better situations to invest your equity into!

You played the hand well preflop, flop, and turn.

River is a crystal clear check-fold.