[BUG] Mode is not sync on remote-control session between CLI in server and in Claude Desktop or Claude Mobile

Preflight Checklist

• [x] I have searched existing issues and this hasn't been reported yet
• [x] This is a single bug report (please file separate reports for different bugs)
• [x] I am using the latest version of Claude Code

What's Wrong?

Claude code mode is not sync between CLI, desktop and mobile during remote-control session

What Should Happen?

I'm not sure if it can cause confusion on the model running, but I expect to have proper sync on the claude code mode between platforms on remote-control session

Error Messages/Logs

Steps to Reproduce

1. Run claude code cli
2. set remote-control session
3. Move to claude desktop, change mode
4. Check if mode is changed as well in cli, and it isn't

Claude Model

None

Is this a regression?

I don't know

Last Working Version

_No response_

Claude Code Version

2.1.187 (Claude Code)

Platform

Anthropic API

Operating System

macOS

Terminal/Shell

Other

Additional Information

_No response_