I like your line against a 13/9.

The river shove in spots like this tends to be the nuts at FR, I expect to see very few bluffs here or worse hands shoving for value. Again think this hand is played well.

I don't play FR so apologies if this is standard but why are we 3betting A9s vs 13/9 nit? Does he overfold as well? Otherwise seems like we are just getting called too much and by a range that smashes us. Also the sizing of it seems small if we want a fold?

As played I think the line is perfect though so nicely done.

Unless his fold to 3 bet is over 65-70% I think it's too loose for full ring.

As played if you think his range has a lot of pocket pairs an AK AQ then I think a c bet is ok, you shouldn't face many post flop raises in 3 bet pots on a full ring table, andI expect him to give you a lot of credit.

As played river is an easy fold. This is always a nutted hand.