100nl UTG vs CO, is our hand in cbet range or x/c range?

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100nl UTG vs CO, is our hand in cbet range or x/c range?

BN: 112.32
SB: 162.18
BB: 106.61
UTG: 124.74 (Hero)
HJ: 91.14
CO: 130.72
villain is 20/17, 11% call open, 6% 3b, 50% ftcb after 800 hands
-fish on BTN and fish in BB

Hero is dealt - A9dd
Flop (6.84) T T A (2 Players)
Hero bets 4.56, CO calls 4.56
I was thinking A9 was a cbet bc its less likely he has us dominated and so his calling range will be FD, GS, some pp's
in which i dont want to give free cards. I would check a lot of my Ax to protect my x/c range, but I thought A9 could be a cbet because we dont block any of his SD/FD combos that would call flop. Thoughts?

Maybe cbet our AJo-AKo hands that don't have a heart.

Is my thinking off? Why or why not?


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