Sync live updates back to an open CLI session after continuing it in the desktop app

Problem

When an interactive Codex CLI session is continued from the ChatGPT desktop app (for example via /app), the desktop app has the same saved conversation, but the already-open CLI TUI does not receive new assistant messages or state updates live.

Why this matters

A user may start local work in a terminal, continue the same session remotely through the desktop app, and then return to the terminal. The terminal looks stale until the session is manually reloaded or resumed, which makes the handoff feel unreliable and discourages keeping the original terminal open.

Requested behavior

Keep the open CLI TUI synchronized with updates made to the same session from the desktop app, or provide an explicit in-session refresh that reloads the current chat without requiring a separate resume flow.

Expected workflow

1. Start a session in Codex CLI.
2. Open the same session in the desktop app with /app.
3. Continue or steer work in the desktop app.
4. The original CLI reflects new messages and task state when it becomes active again, ideally in real time.

Current workaround

Use /resume to reload the saved chat, or use a remote terminal multiplexer instead of switching surfaces.