These spots are extremely rare and people are just not balanced. A solver would 3bet here less than 1% of the time probably. The equity of a range here that a human has can differ drastically than what the solver does even with the slightest change in frequency, which is very easy to have.
I was inclined to beleive that he had specifically top set here, since i am representing a value range of two pair+, and a bluff range of strong semi bluffs. AA is one of the most commonly checked back overpairs on the flop, and given it's a 4 card twotone board, he would likely think i am not folding any sets to a 3bet here, and would want to avoid any cards hitting on river from my strong combo draws i would x/r the turn here with.
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