at low frequency your play seems alright. But betting turn with so low equity shouldn't be our plan, and river is just you get called a lot sine represent very narrow.

First of all, I don't like 3Bting this hand all the time, vs 30-40% BU RFI we should flat a decent portion of the time since we just don't have to play big pot OOP. 3B 40-50% of the time vs supper wide range is fine. Betting this flop is on an aggressive approach I guess, having two overs+bd fd is also reasonable for betting the flop, but I would just check-fold, simply too bad of a flop for our range and too good for BU 3B calling range. Turn is just check fold vs unknown, nothing you can do really since OESD isn't folding and hands like J8, J9, J7, floats like AJ, QJ, KJ, JT are improved, so I don't see a reason for a barreling him off the hand with no real EQ. The river is just total spewiness, just can't see a reason to bet, you repping only hands like sets and 4x and 89, seems like you shouldn't ever have this hands at the beginning after 3B from BB.

I think 3b with ATs should be fine, but I really don´t see any value in playing so aggressively postflop with this board. You won´t have the nuts here, and even if you had JJ (which is a hand you can also 3b from the BB), you shouldn´t play a big pot with the set imo. So, in villains shoes I think calling with Jx is completely fine (what was the other card?).

IMO, I don't think your 3bet range can be cbetting a 5-6-7 flop as often as this hand implies that you are. Villain will have a clear nut advantage on these flops. As played, once you've been called on the flop and pick up no equity - I think continuing to barrel this becomes pretty spewy. Not sure what range of hands you're trying to realize fold equity from - or rather how this line will make money attempting to get those hands to fold.

3b is ok probably. Like it better vs. 2.5x but its probably fine. On Flop This is a spot where he has literally every nutted hand, and you only have over pairs here unless you are 3 betting stuff like 77 and 98s-43s.

I think you can size down your c bet to something like .70 or .75 here. Range vs. Range he is going to just have a ton of folds here and you are in bad shape vs his continues. If he has a nutted hand (set, straight) all an A or T can do is get you into trouble. I would be taking a cheap stab at this board since he does have quite a few folds here and then pretty much shutting down from there.

As played, on this run out, the nuts and near nuts hasn't changed on either the turn or river card. 98 is still the nuts. Sets are uber strong. 2 pairs are still very strong. Yes, 4x now beats him but who has 4x here unless you had 43s pre? I would expect him to be calling 2 pair+ here like always and I wouldn't expect him to have no less than this by the river.

Problem with bluffing river is that your value range is very narrow. You shouldnt valueshove there overpairs and Jx(which is majority of your valuebets before river) as villain has more 2pairs/sets/straights which can lead to guess that your value-bluff ratio can be imbalanced and bluff heavy so villain can consider calling with any bluffcatcher.