Sync my chats, conversation history between ChatGPT website, Codex in VScode.

What feature would you like to see?

I'd like to be able to see all my chats on whatever platform I am on, but specifically for me, when I am using:

1. ChatGPT website
2. ChatGPT website > Codex
3. VScode, with Codex extension, on desktop
4. e.g. GitHub Codespaces, on VScode, with Codex extension, on desktop (or Codespaces in browser with VScode)

• So that any work done with chats on my local desktop, is then visible in e.g. Codespaces when I spin up (and vice versa).
• Also so that while away from desktop / laptop, any ideas I may have that I throw in a chat on my phone, also show up.
• ChatGPT Projects would be an obvious use case I can think of, to be able to load in VScode > Codex extension. That way, I can neatly drop any 'bright ideas' I may have, in a place that then makes sense.

At the moment, if I switch from VScode on desktop, to VScode (Codespaces), neither sees the other's chat history / tasks.

I have a janky workaround running that scans ~/.codex/sessions, then pulls each individual chat and formats to a .md file in a /worklog directory. So at least I can refer back to them (haven't yet tried the other way, to have these 'worklogs' pull in to my actual ChatGPT sessions history, but maybe that will work)

But it would be a very nice feature, I think, if ChatGPT 'just remembered' our history, wherever I was.

Additional information

_No response_