There are different karotypes that do not include xx or xy.
Yes. And they should be allowed to organize their own sports teams and to receive funding proportional to their participation rates. ( Which I anticipate would be very low.)
And no fair “identifying” as “xxy” or “xyy” without the requisite chromosomes.
There are also chimeric individuals who may have multiple karotypes. They should be allowed to compete on multiple teams. Or perhaps on just that team with the most competitive performance for just one of their karotypes.