Thanks for the tag
@ScottR.
Don't let ur head spin
@RyanHoan. I will try to boil this down a bit.
The reason we like to identify the dino species is to help determine which tools we want to hit them with. That said, 4 out of the common 5 species respond well to the same treatment. The exception is Amphidinium (large cell) which does not go into the water column and therefor UV does not work on them. They are tough to kill off. On the bright side, they are the least toxic of the bunch, and you don't need to spend $500 on a UV. Still, it is a long, ugly slog.
I think it is safe to say you have dinos based on the photos and the 0/0 nutrient now. But here is an easy test to confirm they are dinos. Take a sample of gunk and tank water and shake really hard for 30 seconds. Harder. It should have dissolved into cloudy water. Pour that through a coffee filter or similar into a clear glass container. Sit the container in light for an hour then take a look. If it coagulated back into clumpy gunk you have dinos.
If you want to confirm the species, any microscope that can do 400X or better will work to ID.
You already own the UV so fire it up. It should run TO AND FROM THE DISPLAY for the current purpose. After your done, do whatever you want with it. Run it as slow as the manufacturer will allow (so you don't overheat the bulb). Make sure the lamp is off before the pump is shut down.
NO amino acids or similar. Chuck it in your neighbor's trash can. It will likely expire before you are ready to use it again. No coral food. Your stonies are shut down right now. You are only feeding the dinos. Feeding fish plenty is fine.
Reduce light cycle on fuge down to minimum to keep it alive.
Keep skimmer running, but either run dry or let the skimmate release back into the sump.
Dose PO4 and NO3 up to .1 and >10 or higher. NeoNitro and NeoPhos are fine. I will link cheaper DIY solutions below. You will be shocked by how much is required to reach/keep these levels in the beginning -- especially PO4.
Manual removal: Clamp a bunch of filter floss to the sides of the tank in high flow and high light areas during your light cycle. (Or any place the dinos seem to prefer.) Rinse each evening. Baste any affected corals as often as possible.
Watch your ALK if you are dosing; consumption drops hard.
Once you are comfortable that the UV is properly running, you can accelerate things with a blackout on the tank.
Sorry you are at this point but it is all part of the hobby these days for some reason.