Ironically, one good use for that would be to "exfiltrate" entire AI chats from Gemini/AI Studio as Markdown. Doing this by hand is tiresome and Google is obviously not too eager to make it easier (walled garden).

What for? there's already Gemini CLI (https://github.com/google-gemini/gemini-cli) for that, unless I'm missing some crucial feature not supported by that.

Gemini and AI Studio websites, and also Antigravity, have generous free tiers (at least for now). Not so much over API/CLI.