I don't think that can work. Reptiles don't have X and Y chromosomes.

Pythons might.

https://www.sciencedirect.com/science/article/pii/S096098221...

Neither do Aedes aegypti mosquitos which was probably the first application of the gene drive. It works in species with homomorphic sex chromosomes just fine.

Reptiles commonly have their sex determined by the ambient temperature around their egg. Nobody cares whether a sex chromosome is named "X" or "Z".