Stats or a read would be nice here but it is pretty standard to defend against a button 3 bet here and I am not getting it in preflop with 1010 unless I have a solid read they are 3 betting a ton over a decent sample size. Call and play poker. We are not just set mining here, we have a playable hand. Even against a standard 3 bet range we have 35%
equity and we need 30% to call. I would assume that villain is adding 3 bet bluffs into his range on the button vs your late position open so we probably have closer to 40% equity.
As for the extracting value part, I like the call on this dry flop when we flop the world and I am never donking the turn since I am probably hoping to check/jam turn. When he checks turn I am leading river for about 30% hoping he makes a crying call with a hand like 99 or AK. Leading 30% on river may look weak and some villains may spaz here a small % of the time and raise as a
bluff or maybe even for value with AA thinking you have a scared JJ/QQ.
FWIW at 10NL an exploitative strategy is much better then a GTO strategy since players usually have a lot more leaks. Also, if villain plays AA like this you should note it and almost never pay off his river bets since his river value range is so tight.