Save conversations to database

[alexpunct]

trafficstars

Currently the conversations are stored in a writable localstorage store on the user's browser. They can also have only 1 conversation and if a new one is started, the old one is lost forever. We want to save the conversations to the database and allow the users to view/resume previous conversations. Similar to how ChatGPT is doing but with a better ux (allow the users to search them, maybe categorize them using NLP)