Move existing Codex chats/threads into saved Codex Projects by resolving chat titles and project names, generating a safe move plan, and launching a terminal helper that quits Codex, patches local Codex state after exit, then reopens Codex. Use when the user asks to organize Codex chats by Project, move chats into Projects, re-parent projectless Codex threads, or fix chats appearing outside the intended Project.