[ebuck]

Yes. This.

The primary problem with using ChatGPT in mathematics is that by the time you can classify a ChatGPT answer as right or wrong, you are already more than capable of solving the answer independently.

So, for this field, ChatGPT is like having a research assistant that assists you, but one that occasionally gets frustrated, and tries to destroy your project from within by reporting good looking, but completely inaccurate information. You can't trust their work, and the validation of their work basically means that you'll have to do their work again by other means.

A faster and more accurate approach would be just to do the work without the subterfuge of an unreliable assistant. At least then, you are only subject to your own errors (which would still be present in validation of ChatGPT) and not subject to your own errors and those that ChatGPT induces.