tough spot in 3b pot w/ AA

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Posted by posted in Low Stakes

tough spot in 3b pot w/ AA

SB: : $23.52
BB: Hero: $10.58
HU
Villain folded to 1/6 3b pre.
Assigned a prf range btw 4-40%
Preflop ($0.15) (2 Players)
was dealt A 5 4 A
raises to $0.20, raises to $0.60, calls $0.40
Flop ($1.35) T 4 6 (2 Players)
bets $1.20, calls $1.20
ARGUMENTS FOR BETTING
According to ppt, I have 56% against his range otf. Is this enough reason to bet?
I would think that this board heavily favors his range, but since his range is so wide,
and I have Ad blocker, the part of his range that hits this flop is skewed. In fact, ppt has
villain hitting 2p+ only ~14% otf.

Also, he will completely whiff flop ~30% ( no fdraw sdraw, or top pair). 30% seems high, but not sure how to interpret this.

ARGUMENTS FOR CHECKING
Accounting for ranges, this is a board that villain will hit more often. Consequently, if I am betting all AA** on this board then I am probably betting too much. But if I am checking, how do I balance(bet Ad?)
Also, turn playability is surprisingly decent. Even the worst turns still have my equity ~40%, allowing me to c-c any bet on flop and turn to realize equity on river. It would be a disaster to bet flop and get raised...
- using the shove tool in oo, if villain cr pot to 4.8, i shove, and villain calls with:
[46+,t:dd,t:53+,53+:dd)
I net $3.65. Villain net $3.54 and calls 65% of the time. Does this sound reasonable?
Turn ($3.75) T 4 6 7 (2 Players)
checks, bets $2
This is clearly a turn I can call for this bet size, but can I bet?

I apologize for the length. Any help would be appreciated.

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