Blinds: $2/$4 in an online app
In a full ring 9-handed game, the CO raised to $12. I was in the SB and decided to 3-b to $40 with A♠4♠ with an effective stack of about $370 - $380 to knock the BB outta the hand, and go heads-up with the CO, plus we have a good hand to do it with against a CO opening range. However, the BB surprised me by calling the $40 3-b cold. The CO also defended. 3-way OTF of K♠T♠8♣, I c-bet $65 into the $120 pot as the flop was good for my range and I also wanted to push the equity of my hand with my NFD. The BB raised to $150, and the CO folded. Given the sizing the BB raised, he was kinda inducing me to shove and I also decided to go with my hand though there was no fold equity. Was my 3-b shove bad with my hand? Bet-folding a NFD as the preflop aggressor felt like a very weak play to me, but given the BB's cold-calling range of my 3-b, he would have some slowplayed KK, TT or AK/AA, though the latter seemed unlikely since I had an Ace blocker myself. So it kinda felt like I was shoving into such a range of nutted hands, But for me, I felt there was also too much money in the pot, after I'd c-bet for $65 into $120, and he had raised to $150, there would be $335 in the pot, and I would havta risk about another $270-ish to win a combined total of $605-ish. Definitely I would have been getting more than 2-1 on my money for my NFD, hence my mathematical reasoning for stacking off too. Getting like 2.2-1 on my money, I think the 3-b Gii shoulda been an ok play and I liked my play but I was not sure if it was the correct play, since 3-b Gii would only get called by the above nutted hands I had stated above. Please share your insights with me guys, thank you.