Guess we have to call once we comitted 42% of our stack. Villain could be tricky with AA (QQ,TT) here, hoping to induce floats from all gutters, OESD and FDs. But as standard I expect him to barrel those for value and protection.

The most important consideration here is how many worse hands call (or jam), since TPGK is clearly a v-bet in this spot. Betting for protection / info / not playing hand face up comes in mind OTF.
Only worse hands are QJ and AT, KT, T9, which we first dont see to be 3bet as default and second would play a bet flop/ try to get to showdown or check flop, call once, evaluate/ try to get to showdown line.

Gross spot... He can definately have some gs+fd hands, but I think he's still more likely to barrel them off OTT. It seems weird at first sight to checkback this strong of a hand that also needs protection, but the more I think of it, the more I want to checkback the turn and try to induce a bet on the river / valuebet myself when checkd to.

If we add some 2nd pairs and JJ/q9,q8 ,qj then we have around 60% ..
But the thing is if check he will not bet his worst hands on river because most of them SD value. thats why we should bet turn? and we give free cards for draws

ok then most of the time value hands gonna bet and draws too , then he's checking SD value and some combos of sets/nuts ? turn play just depends how he play his value/bluff/sd value range but we have no information .

never betting turn without a clear idea what to do once he jams. the bet itself is quite thin

the fact that he 3b thrice in 60hands makes this a call imo, but its def. disgusting spot and I wouldnt blame you for folding...

I was thinking few days about it and what if he will not cbet his SD value range , so only Good hands like TPTK,set's , two pairs . and some % of combos he will put in x/shove range? because it looks like Flush draw ? for example 1 combo QQ/2 TT and maybe 3 AQo(6 combos aq in total) . and maybe 1-2 combos FD? even vs that range i have only 20-25% . and yes as you said before he probably bet all FD because he should know that this FLOP is good for my range and im probably not folding Qx . so thats why he can easy put some nuts/strong combos in x/shove range? sorry for bad english!

anyone ? help please!

I think it's a call. Ran a sim and we have just under 36% vs a range of two combos of QQ/TT, one combo of AQ and some combo draws. Would be interested to hear if anyone strongly disagrees with my assessment of villain's range here.

vs 1 QQ,1 TdTh, 1 Js9s,1 9s8s, 1 AcQd we have 28% .but its impossible to say how many FD combos he have here coz i dont know . Maybe one then we have 18% , if two then 28%. so it just depends on player . then in vacuum its probably call since we bet. but given fact that he probably not cbeting sD value we need to check turn ?