@crivero sorry about the issues you're having. First, please don't take this the wrong way but your parameters are not perfect. 0 No3 and 0 Po4 is not good. The coral looks pale and more than likely is starving. Your calcium is low and your mag is out of balance with your calcium number. General rule of thumb is 3:1 for calcium and magensium. So if you calcium is 380 then your mag should be around 1,140 which is way too low. Get your calcium up to around 440 and do not dose any magnesium until it starts to fall within range. Need to get your nutrients up by either feeding more or dosing nitrates and phosphates.
From your pictures it doesn't appear this just happened. The STN on the corals have older algae growth and you can see the edge of the flesh is already healed and looks to be growing. Unfortunately, I feel whatever happened in the past to cause this damage is over and there isn't much you can do to reverse what happened. Can you remove the coral from the tank without destroying it? If so, then it could benefit from an Iodine dip.
Personally, I would give it an Iodine dip if possible. Do a couple of water changes, raise calcium and nutrients and then just wait a month or two to see how it goes. If you correct what is making it unhappy then the flesh should grow again over the dead parts but this will take some time though.
Best of luck. We all go through this. I just moved some acros over to my new system and some stags did the same thing. They do this if they are not happy with the conditions they are in.