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20NL | Turned TPTK in 3BP

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20NL | Turned TPTK in 3BP

Blinds: $0.10/$0.20 (6 Players) BN: $20.40 (Hero)
SB: $62.45
BB: $20.00
UTG: $11.80
MP: $20.00
CO: $32.45
Villain is an unknown, but presumably weaker player. (I don't see him on any other tables and he had been opening actively over a small sample, but no limping).
Preflop ($0.30) Hero is BN with A J
UTG folds, CO raises to $0.60, Hero raises to $1.60, 2 folds, CO calls $1.00
I 3-bet a linear range here for value/isolation, with smaller size.
Flop ($3.50) 7 T 6
CO checks, Hero checks
In-game thought is that this board should connect pretty well with his range. So I decide to take my equity and check back instead.
Turn ($3.50) 7 T 6 J
CO bets $2.20, Hero raises to $6.80, CO raises to $23.90, Hero folds
Here I'm a bit unsure. And I think I botched this street completely.

Firstly, can we find a value raise or not?

Hands we beat that likely play this way are Jx, Tx, 99, 88 that are bet for value against our perceived AQ/AK heavy range. As well as some semi-bluffs like KQ.

Hands that beat us are TT, 77, 66, JTs.

If that's his betting range with all those hands at full frequency, we're at 60% EQ on the turn. Which is probably not enough to value raise, unless he never folds. However, he might not fold often at all given that we rep so little.

TT-66,AcQc,AJs-ATs,KTs+,QTs+,JTs,T9s,98s,KQo -- against this we have ~60%.

Now, he might not always bet 99/88 or KQ for that matter, but I expect Tx or better to mostly be bet.

Once we do raise, it's still a shitty spot because we don't know how often villain is protection shoving a hand like QJ or even AT, maybe worse - or semi-bluffing a hand like KQ - since it looks so much like we have a ridiculously played AQ/AK usually. In-game I begrudgingly folded because I was unsure. I realize this is a terrible line.

I think we either raise/call, or just call, without having more information.

Thoughts? Thanks!

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