Severe session sync issues between tui/desktop/mobile

What issue are you seeing?

Sessions don't stay in sync when used across cli/desktop/mobile.

What steps can reproduce the bug?

1. Start cli, launch some subagents
2. While running/once finished, send followup/steer from mobile (android) remotely connected to your host
3. Check cli and see no update made to the session
4. Check codex desktop && vscode extension, and you might see updates for the session, but also might not

What is the expected behavior?

Sending a message from one client should trigger updates to other sessions, ideally when messages are sent, but at the very least when responses are sent (a little lag is fine, but not completely lost msgs/tui never updating).

Additional information

Codex Feedback/thread ID: 019ef531-0938-7220-afbf-d5dbb802ba9a