I would say that if the fish went in ok and was acting normal and did not display immediate signs of distress, then the acclimation was probably not the issue. I would also say that you need to improve your acclimation. There is a guide linked below.
https://www.saltwaterfish.com/content-acclimation
Your best bet is to find a new home for the tang, then review your acclimation process and adjust it to increase the survival likilyhood of your new fish. No. 1 to consider is to set up a quarantine tank and use it religiously for new fish. Most of the fish you get will have diseases as you carry them home. The only way to not introduce those diseases in to your system (and protect your healthy fish) is to quarantine all new fish first for at least 3-4 weeks. Then, if sickness occurs, you can treat it worry-free in an isolated quarantine. Also, new fish are highly stressed (even if by chance they don't have parasites or other problems when you get them). Isolation with no other fish to bother them goes a very long way in getting them healthy and ready for their final destination in to your tank.