I am not good at identifying types of algae, but I think the recommendations for addressing most green algae are pretty similar and involve balancing light, nutrients and CO2
. There are some good threads on algae control here if you do a search. I don't think any of the typical methods should disrupt a cycle.
You will probably need to reduce light--the length of time lights are on and intensity of light. Limit feeding and do partial water changes to control nitrates. Flourish Excel used on a schedule can help in a low-tech tank. Remove as much of the algae as you can manually. You can spot-treat with hydrogen peroxide if you want; do a search on how to do this.
What helped me most was adding a lights-out period in the middle of the day (I do four hours of lights on, a couple of hours off, then four hours on again), and adding a lot more plants to the aquarium to outcompete the algae. I also added pothos to my filter baskets to consume nitrates--explained about it in this thread: https://www.aquariumadvice.com/forum...st-374169.html