Here you go. I asked Sawyer the question at the same time I posted here (wasn't sure they would respond). Here is what they said.
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Hi Tony,
Thanks for reaching out to us and for your interest in our water filters.
The Sawyer Squeeze and MINI will remove cyanobacteria but will not remove the related toxins. However, the Select S3 will remove both the bacteria and the toxins the bacteria release into the water. Here is a link to learn more - https://sawyer.com/products/select-filter-and-purifier/
Let us know if you have any other questions or comments,
Jeanne
Sawyer Customer Service