[Android/Remote] Mobile-created Codex conversation disappears after renaming on macOS

Describe the bug

A Codex/Remote conversation that was originally created on the Android ChatGPT app becomes unavailable on mobile after it is opened on macOS and renamed there.

The Mac and Android phone remain paired and other Codex tasks continue to appear normally. The affected conversation is still present on the Mac, but the Android ChatGPT app cannot find it by its new title and it does not appear in the Remote task list under the expected mobile-created conversation.

This looks like a session identity/index synchronization problem after a remote conversation is renamed on the desktop host.

Steps to reproduce

1. Create a Codex/Remote conversation from the ChatGPT Android app.
2. Pair the Android app with a macOS Codex host.
3. Open the same conversation on macOS.
4. Rename the conversation from macOS.
5. Close or restart the ChatGPT Android app.
6. Reconnect to the same Mac from the mobile Remote view.
7. Search for the new title and inspect the Remote task list.

Expected behavior

The same conversation should remain visible and searchable on Android under its new title, with its existing history and session identity preserved.

Actual behavior

The Mac still has the conversation, but Android cannot find it by the new title. The Remote list shows other tasks but not the affected conversation as the original mobile-created session. Because the original title is no longer known, the conversation becomes effectively undiscoverable from mobile.

Environment

• Host: macOS Codex desktop app
• Mobile: Android ChatGPT app on REDMI K90 / Android
• Remote: ChatGPT mobile Remote connected to the Mac
• Account/workspace: same account and workspace on both devices
• Project: 远程移动端控制项目

Additional information

The device connection itself works: other running and historical Codex tasks are visible on the same phone and Mac. The issue appears specific to the identity/title synchronization of a mobile-created conversation after it is renamed on macOS.

This may be related to #41470, but this report focuses on a mobile-created conversation becoming unsearchable after a desktop rename.

Start by reproducing the Android-to-macOS Remote flow described in the issue, then trace how a mobile-created conversation's title and session identity are synchronized into the Remote task list. Done means the renamed conversation remains searchable on Android with its history and original session identity preserved.