Per the README (and the source code), requests to GPT are cached. I know that doesn't solve the stability problem, since the cache is keyed on the exact prompt among other parameters, but it's something at least.
The source code shows that it's using pickling to store OpenAI responses on the local filesystem. See here:
https://github.com/ianb/infinite-ai-array/blob/main/iaia/gpt...
and here:
https://github.com/ianb/infinite-ai-array/blob/main/iaia/gpt...