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NL10z Squeezing and bluffing with lower pair

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NL10z Squeezing and bluffing with lower pair

Blinds: $0.10/$0.25 (6 Players) BN: $35.06 (Hero)
SB: $11.39
BB: $25.56
UTG: $59.22
MP: $22.47
CO: $28.11
Preflop ($0.35) Hero is BN with T T
UTG raises to $0.63, MP calls $0.63, CO folds, Hero raises to $2.56, 2 folds, UTG calls $1.93, MP folds
Think the squeeze is good, esp. with the apparent fish in MP
Flop ($6.10) 5 J Q
UTG checks, Hero checks
Dont think I have a range cbet on this board, a lot of his flatting range connects with these cards. I could imagine our lowest PPs in the squeezing range to start firing here to get better SDV (99-TT), but out of all PPs I have TT needs the least protection here.
Turn ($6.10) 5 J Q 9
UTG checks, Hero bets $3.05, UTG calls $3.05
I started betting here and I dont like it at all. We basically only rep KTs, 99 and some slowplayed overpairs with club blocker, but I think this will be perceived as weak most of the times. He will mainly continue with some KJ+, JTs, T9s, ATs maybe (and a few time slowplayed sets maybe, but I think those are mainly leading OTT on such a drawy board)
River ($12.20) 5 J Q 9 A
UTG checks, Hero bets $8.15, UTG folds
Probably one of the best cards for my bluffing. As said OTT, I would imagine that a lot of his AQ, KQ and other value hands are leading the turn seeing how wet the board is and the only thing I could see myself running into is AJ and AT. Now purely solver wise I looked at it and solver didnt like to bet here, since we had better bluffing candidates and wouldnt need to turn such a strong SDV that still beats some of his hands (98s, T9s) into a bluff.

Now I looked at the solver solution and it doesnt support my play starting from the turn on, but I did some node locking with some reasonable assumptions imo:
- Villain will lead his value hands OTT instead of checking back (QQ, JJ, 99, KQ+, QJs, bet some of his FDs)
- Villain folds to a bet with 66-88, 87s (so continues with T9s, TT, JTs, KJs, AJs, ATs)

Then solver started to bet everything OTT and OTR if villain calls with ATs-AJs (50% also for KJs for bluffcatching, folds rest), the solver also likes to fire away again with any sort of pair that doesnt have SDV (so all Kx are checked, while any other hand is bet)). That being said, that is almost only for an A the case, since we cannot expect him to fold his Jx too much on any different card, as we rep super narrow.

I just somewhat dont understand why the solver would want to bet with TT on the turn with my assumptions, even though you specify that there are a lot of better hands still calling

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