[FEATURE] Unified searchable archive across all projects with full-text search of conversation content

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

I work with Claude inside individual repos normally using VS Code - often I will propose an experimental feature or request beyond the current work. Due to the async nature I will leave it running and work on something else.

The issue is keeping track of where and when these experimental features were built - with the ability to quickly develop PCOs it can be easy to lose track.

Proposed Solution

I would like basically Codex - where the individual conversations across projects are identifiable in one place. These conversations should be searchable to help locate.

Alternative Solutions

I have tried using the /rename and the all projects toggle but its not searchable.

Priority

Medium - Would be very helpful

Feature Category

Interactive mode (TUI)

Use Case Example

1. Working on a new feature in a specific React template - normal day to day
2. Realise it would be useful to be able to share a component across teams - so not reinventing the wheel - discuss with Claude.
3. Agree a plan with Claude - new branch created - left to work on the implementation
4. Work on another repo - new request comes in.
5. Several days past - trying to remember where that new feature was implemented.

Additional Context

The Codex UI works well and I would just copy that.