Third sex not required for sex to be non binary, sorry did you miss me saying that.
You said it, but you were wrong.
Sex is determined by a number of genes, a couple chromosomes, and the input of several hormones, with all those factors involved, it exists on a spectrum, not binary.
Actually, no. Sex is determined by the SRY gene located on the Y chromosome. But that's sex
determination, not sex
definition.
For consideration... sex in alligators is
determined by the temperature of the nest. If the temperature is below a certain level, all of the hatchlings will be female. If it's above a certain level, all of the hatchlings will be male. If the temperature is in between, some of the hatchlings will be male, and some will be female. Temperature
determines what sex the offspring will be... but there are still only two sexes: male or female.
In a normally developing fetus, the SRY gene instigates development of a male. Things can go wonky with that determination process, for example, the zygote might have the SRY gene translocated during division, so it ends up on the X chromosome instead. Similarly, the receptor for the SRY might be faulty, and might not receive the orders. Then you get things like CAIS where the fetus is chromosomally XY, but is female.
In humans, as in all other mammals and birds, sex is
defined based on the phenotype of the reproductive system. There are two reproductive systems - one that evolved to support the production of large slow-moving gametes packed full of nutrients, and another that evolved to support the production of small fast-moving gametes that have barely enough energy to make it to the big one. And because sex is defined based on the system, it doesn't require actual production or even presence of gametes. Nor does it require that all elements of that system be present. At the end of the day, however, there are two systems that have evolved in our species.
For sex to be a spectrum, there would need to be a multitude of functional systems that have evolved to support the production of a multitude of different gamete types. And there aren't - there are two gametes, and two reproductive systems.
You can pound square pegs in round holes and round pegs in square holes all you want as well as use a number of fallacies in your arguments, but you still fail to show that sex is binary.
You've shown nothing other than a willingness to parrot a nice-sounding lie that you've been told.