Not sure why you added a refugium when you had only 2ppm nitrates in you system.
From experience, I can tell you a refugium isn’t going to outcompete existing hair algae in the display. The only real effective means of getting rid of it IMO is manually removing it repeatedly until it’s gone. Also, if you have isolated compartments with filtration media, you have tons of pods. Everytime I change my filter sock, I pull at least a few hundred amphipods out and dump them in my display so the sixline wrasse and mandarin can have some fun.