Breaking down the tank should be a last resort. Even then the solution may be only temporary as the spores may be present in your tap water. The best thing to do is find the condition that allows this algae to proliferate and adjust accordingly.
If there are no live plants other than algae, and high NO3
levels are present, the algae may thrive. Try increasing your pwcs and give your filter a good cleaning as well. Just remember to rinse the media in tank water. Hopefully this is all it may take.