biologically intersex is a thing.. neither male or female but both (I know its rare.. but it does still happen)
That's a sadly common misperception
Interestingly, it's two different common misperceptions simultaneously.
Logically it can't simultaneously be "neither male or female" and "both male and female". Stop and think about what you've just said and how little sense it makes, maybe?
I've seen people comment about how the inherent contradictions of the ideology give this a sort of religious "mystic" gloss that make it appealing, but I've not seen this "neither but both" form quite so blatantly before.
(There are organisms that are neither, and there are organisms that are both, but neither happens in mammals. We're mammals, in case you're a bit fuzzy on biology. And no organism is simultaneously neither and both, because that would be nonsense.)