Ugly spot indeed....I would throw MDA and GTO a bit out of the window OTR...
Flop and turn look standard to me.
So I guess this will be mostly a call in theory OTR for the good price. But I might still be folding anyways.
My reasoning is that most players tend to construct the relation between sizing and the value to bluff ratio backwards.
In theory Villain is supposed to bluff on a decent frequency for this sizing as their bluffs doesn't need to work too often to be profitable. In this case they can btw also go for somewhat thin value....
The reality is: Players rarely bluff this sizing as they expect to get called fairly often (which could indeed be true).
So I guess as an exploit im letting this 1 go OTR....

I fold this one during the game as well.

Preflop is close. QTs is at the bottom of my 3b range pre SB vs CO 3bb open. That said, I have zero problem with the 3b.

I think your line is ok here but I would reluctantly fold river.

He has nut advantage here (He likely has all of the sets and you only really have TT). You do, however, have AA/KK/QQ/JJ/TT/ATs/KTs. This is a healthy value range and you are low on FD's and SD's (low on bluffs).

I do think this spot can be played as a check on the flop (played as a check/call or you can delay c bet vs a check back by him) with combos like QTs/JTs. I am more likely to check this board over a board such as T65 two tone.

Agree,
Solver on the turn prefers bet instead of checking for 25% pot. I use 30% sizing normally for the lower sizing.
That is really interesting - why betting here is preferred option by solver?