Automatic logging/exporting for conversations in chat UI

[mvallet91]

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Problem

The current /export works great, but it needs to be triggered by the user. This may be an extra challenge to remember for novice users, and it would be especially helpful for general tracking in a managed instance of Jupyterlab, such as a course. Instructors integrating Jupyter-ai could then review the conversations to better support students and understand their struggles and errors.

Proposed Solution

• Stream the conversation into a file instead of the terminal

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