High phosphates causing algae is a myth. Too much light without a sufficient carbon source is more likely the culprit.
I have super high phosphates in my tank. Not a single bit of BBA though
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I've got that going on as well. Phosphates can be high or low but algae doesn't take over my tank.
I do have some BBA making a come back which I think is because I have reduced the glut dosing and the co2 injection seems to be not quite working well.