Have had many tangs over 40+ years and had to remove only one for eating coral and that was a power blue that after many years developed a taste for acros. Even though he was beautiful and like an old friend, he had to go. Had to get the owner of my LFS to come out as my tank was filled with Tonga live branch and base and I couldn’t catch him. Had one each(only way to go) of hippo, purple, Red Sea sailfin, yellow, aMoorish Idol and of course the powder blue. These were all very large and some were over 20 years old. Had to go through more than one hippo and RS sailfin because they grow the fastest and exchange them for younger ones. They all eat a tremendous amount of nori so I bought it in the notebook 2” thick size packs from an Asian grocery store and they also were fed meaty food and formula 2 with garlic. Lots of garlic! A purple will eventually get LL disease without garlic but you can cure him very easily with it. Some people may not agree with me on the huge feedings of nori, but they all got along with each other and stayed disease free. That was mainly because a fish never entered my tank without a freshwater dip 10 minutes.
As far as tangs, the best way to a happy tank is a “fat and sassy” fish and lots of water changes for your coral. Ha