passive table (limpfest) and somewhat loose.

hero has been playing tight and won the few hands he played, which didn't go unnoticed.

MP (150) is the catalyst for action at the table. plays many hands and chooses line that don't make sense. likes hopeless small bluffs.
SB (150) is loose and passive. misses clear value bets.
BB (350) decent player. possibly on the tight side. seems to play a predictable game.

hero opens AA to 10$ from UTG (I had enough of your "say no to l/rr" )
folds to MP, who calls, as expected... folds to the blinds and both call.

flop (4 players, 36$ after rake): AT3r
too good isn't that great... so after the blinds check, hero wonders what will villians call him with...

hero bets 25$, hoping the loose players have gutshots or T* and will find a bad call. instead, the two loosies - MP and SB - both fold, and BB calls, which suprised me a little.

turn (2 players, 86$): 2, puts a flush draw on board.
BB checks dark, hero guesses BB must have an A*, gets greedy and bets 60$... BB ponders for like 30 seconds until he finally folds.

bet sizing is an art, make me an artist!
you may use the S (sta***rd) word if necessary...

Do we have BB covered?

My standard in this spot would be about half pot. We have the whole hand, really.

$45 or $50 on turn

hero covers, sorry guys, my bad...
so, 50%-55% pot, targeting A* hands for value?

you can't play for stacks w/o villian getting agressive/overbetting and villian will see his hand as WA/WB... i bet 1/2 pot on these type of boards so like 40-50. I like the sizing of the flop bet @ 2/3 the pot though to charge weak aces more/put them in a tougher spot if they're going to play passive weak hands. That being said i doubt it made a difference in this situation tbh if hes chasing a gutshot hes not calling you down and a weak ace either believes you or doesn't... usually these type of players don't change their minds over small sizing differences.