Some further minor use cases for #ChatGPT that I have discovered recently. Firstly, it is quite good at parsing documentation for a code format (in this case the API for #arXiv search) and then returning a correctly formatted query for that code (and it also later provided some working python code to call this API in the fashion I requested, although I had to manually install a package to make it run). Secondly (and not pictured here), I asked it to come up with some questions that a bright student might ask in an undergraduate linear algebra class (for which I provided a few sample topics), and it came up with some good examples that stimulated ideas for possible directions for the course, as well as potential assignment questions.
In general, I am finding that while these #AI tools do not directly assist me in core tasks such as trying to attack an unsolved mathematical problem, they are quite useful for a wide variety of peripheral (but still work-related) tasks (though often with some manual tweaking afterwards).