Good fold. Your patience will reward you with better spots which you can play with confidence.

I don't know how you got the $0.96. With 4 outs, you are 11:1 against to catch your draw on the turn. The implied odds equation:
ESS > 11*$0.16 - $0.32
ESS > $1.44
You would need to get an additional $1.44 into the pot that is not your chips to make a 0EV play. You need more than that to make this play profitable.