Betting turn with the intention to x/f a brick seems very weak to me.

just shove river i don't think it's thin at all

Yes i agree shove, perhaps w/o Ah XC is better.
As played XC imo.

I would valuebet the river. It is very appealing for villain to raise flop or turn with his stronger hands, because many cards kill the action for him.

Yeah a pretty easy valuebet OTR imo.

I would start with a check i think, because this board can only hit a very wide Low card 3bet range and i also think it helps him more Than us. Flop x/c . The rest of the hand i Duno how would go down unfortunately. I dont like the small bets, he can turn everything into a bluff easily and put us into a difficult spot and i think we also dont have a marginal range, so when we Bet, we have a FD or overpair like QQ-AA. Betting very big like almost pot size is better i think, we Could do it even with a FD and he has a hard time with JJ QQ . I think i would size also bigger every 3bets to like 11 bb.

c/c is kinda nice imo
bettings fine 2

Xc is fine if villain plays draws passivly but fires when checked too

The river didn't improve any hand, so checking the river is only to let Btn to make a bluff move by showing weakness on our hand. If he already had a set, straight or even two pairs, he would raise the turn, so I would value bet the river or call the villain bet.

Looking at the hand again. You can have a wide Low card hand range like 85s ect so this betsize u use is correct in this flop, but most of those hands probably would not continue betting on the turn. I just correct myself because earlier i didnt like it.