That's not algae, it's a trumpet coral
Ohhhh, you mean the stuff in the sand???
Yes, it's cyano. I'm quite familiar with the stuff. I started taking care of my brother-in-law's FOWLR tank a few months back because they didn't care for it too well. Anyhoo, they had a HORRIBLE cyano problem. Took me forever to get rid of it. First, find out where the nutrients feeding the algae are coming from. You have nutrients even if your tests are showing none. Algaes won't grow without nutrients to feed them. If your tests show 0ppm for nitrates, it's only because the algae is consuming it all. The most likely culprit for elevated nutrients is over-feeding. I made my brother-in-law cut back his feeding from daily to every three days. That helped tremendously. We also cut the lights for almost a week and covered the tank so it didn't get any ambient light. This is a FOWLR so no corals needing light. I think most people with coral tanks will cut lights for around three days. This will really help kill off any algaes.