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What line should I take here? I've TPTK but board is very wet. Should I've betted more on the flop and turn? Can I bet on this river? If hero checks what to do against a bet, fold? I'm thinking on the flop and turn I'm ahead but the river beats my TP.

Poker Stars, $0.02/$0.05 No Limit Hold'em Cash, 6 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

Hero (BB): $5.92 (118.4 bb)
UTG: $1.58 (31.6 bb)
MP: $4.41 (88.2 bb)
CO: $2.48 (49.6 bb)
BTN: $5 (100 bb)
SB: $3.42 (68.4 bb)

Preflop: Hero is BB with Q A
3 folds, BTN raises to $0.20, SB folds, Hero raises to $0.60, BTN calls $0.40

Flop: ($1.22) 5 7 6 (2 players)
Hero bets $0.70, BTN calls $0.70

Turn: ($2.62) Q (2 players)
Hero bets $1.60, BTN calls $1.60

River: ($5.82) K (2 players)
Hero ???

Before I reply (or at least do me best) do you have any reads or stats on villain?

No didn't have reads this was villains first hand on this table.

And I know that I sometimes 3bet too light preflop. Flop I cbet for bluff and on the turn my hand improves so I'm betting to get value. Did not expect he has a straigt here because he calls my 3bet. But if I check the turn and villain bets I must fold imo.

I would make it 4x pre if im 3betting, but readless, idk if this is even a 3b tbh. He makes it fairly big given it is the button.

I am probably cbetting here the same size too and folding to a raise. If villain thinks we can hit this board after 3betting it is fine, as it shouldn't hit his 3b calling range (although readless we don't know if he has suited connectors in his range).

Turn: I'm betting too, but realising it's getting thin at this point, but still expect draws, PP's and something around that nature to call. I can def be convinced into a check though.

but the river beats my TP.

River: I wouldn't be afraid of the king, as I don't see what types of kings calls a 3b pre, and at the same time gets to this river given the board textue and how the action went down.
But at the same time, I don't think there is much value to be had at this point, and I don't expect villain to turn his showdown value hands into bluffs, such as pair plus draw type hands.
Given stack sizes you can't really b/f, so I think im checking here expecting to be good if it gets checked back, and behind if villain shoves.

Does anyone see any merrits in betting like $0.50 as a block bet, and at the same time having a hand like mid pocket pairs, or 7x type hands to call?

Why do we auto cbet this board? What hands do you expect to get value from and what better do you get to fold as a bluff? Villain's range is going to be PP's and broadway hands. He is never folding a PP here and you aren't going to get value from much, if any of villain's broadway hands. Anything you're ahead of has basically 6 outs, so c/c can't be that bad of line here. Another question I have is what would your plan be if a T, J or K fell? Are you double barreling?