Full house AI on flop

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Full house AI on flop

Blinds: $0.01/$0.02 (6 Players) BN: $2.00 (Hero)
SB: $3.87
BB: $2.00
UTG: $3.74
MP: $1.89
CO: $2.08
Villain is 23/15 with 13 hands, assuming he has a deep stack i considered him as a regular nl2 player
Preflop ($0.03) Hero is BN with A 3
3 folds, Hero raises to $0.05, SB calls $0.04, BB folds
Ac3d is the bottom of my range on BTN, i usually bet 2.5 BB as i could face 3-Bet more often than in other position
Flop ($0.12) 3 3 A
SB checks, Hero bets $0.06, SB raises to $0.12, Hero raises to $0.48, SB raises to $1.36, Hero raises to $1.95 and is all in, SB calls $0.59
Flop is quite magnificient ! As the pot was small i wanted to get it bigger from the start. My thoughts was to 1/2 flop, and barrel with a size depending to the texture of the board at turn and river.
Is this a correct way to get a maximum of value assuming we have nuts 99 times over 100

SB raises 2x my CB, with this flop his raising range could consist of every PP from 77 to AA, every non gap combos such as 23ss until KQss
I should have just call instead of 3-Betting here to extract value from these weaker hands ?

Hi ! I just began to start playing poker again and this hand made me thoughful
Is there any mistake with the sizing or checking-betting frequencies ?

In addition, is there a decent tools to learn poker with IA ? PokerSnowie looks quite outdated, i don't really know source of learning nowadays


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