I'm going to be general in my comments, as I do not know these lights. But three things stand out. But I'll begin with background.
Plants need light of a certain intensity to drive photosynthesis (this varies from species to species) and it must also have red and blue as these drive photosynthesis (red is the more important for this). Along with the light, nutrients have to be available; here too plants have varying requirements, and nutrients must be in a basic proportion. This light/nutrient issue is the balance I mentioned previously (Baker did the same). If the balance exists, plants will use the light and nutrients better, but as soon as this balance is out, plant photosynthesis can slow, even stop, and algae takes advantage because it is not anywhere as fussy about this balance. Which is why you will see some type of algae in any fish tank, whatever the light. It just has an easy time.
Photosynthesis depends upon the light intensity, but also is limited by any nutrient deficiency. Liebig's Law of Minimum is the technical term; Liebig discovered that plant growth is not dependent upon an excess of any nutrient, but solely on the limiting nutrient that is insufficient.
To the issues I see. First, blue lights promote algae because the plants cannot use just blue light for photosynthesis so the blue light is available for algae. This is advantageous in marine tanks, but not freshwater planted tanks. Used as "moonlight" very minimally, this shouldn't be problematic for algae, but here it is just one more factor that adds to the algae issue.
Second, there is most likely a deficiency in nutrients. You have what I will surmise is probably decent to bright lighting, but with out sufficient nutrients the plants cannot make use of it, so algae does.
This brings me to the third thing, CO2. This is a macronutrient for plants, but in excess (beyond the plants' needs, combined with the light and other 16 nutrients) it will promote algae. Any nutrient, but especially the macros, will do this if things are not balanced. This is part of why algae becomes problematic in light that is not sufficient intensity/spectrum for photosynthesis; the nutrients cannot feed the plants so algae uses them.
You need to be adding a nutrient supplement, but not knowing much about the light I don't want to suggest specifics on the nutrients. But I'd bet they are lacking here. I would also suggest floating plants; these can really help with light-related aspects, but they are fast growing which means more nutrients. I see Anubias in the photo, this is a low light low nutrient plant, and frequent develops brush algae solely from too much light; the floaters should handle this.
Edit. A comment about my own experience with this algae. It has increased due to too long a duration for the tank light (exceeding the balance with available nutrients) so cutting back the duration solved that. I also had it increase in summer, and discovered this was due to the increase in intensity and duration of daylight entering the fish room; heavy drapes in summer solved this. I have also had it increase by using too much fertilizer, and cutting this back depleted the algae, twice. My point is, that the balance is the key.
Byron.