Bug: Teammate permission prompts not visible in Desktop App remote sessions

Description

When using Agent Teams with Claude Code via a remote session in the Claude Desktop App, permission approval requests from teammates (e.g., file edit approvals) do not appear in the Desktop App UI. The prompts only show in the terminal (tmux pane) where the teammate is running, requiring the user to switch to the terminal to approve.

Steps to reproduce

1. Open a Claude Code remote session in the Claude Desktop App
2. Create an agent team with TeamCreate
3. Spawn a teammate that requires permission approvals (e.g., one that edits files in a mode that requires approval)
4. Wait for the teammate to request a permission (e.g., edit a file)

Expected behavior

Permission approval requests from teammates should be surfaced in the Claude Desktop App remote session UI, allowing the user to approve or deny without leaving the app.

Actual behavior

Permission prompts from teammates are only visible in the terminal (tmux pane). The Desktop App remote session shows no indication that a teammate is waiting for approval, causing teammates to appear stuck/idle.

Environment

• Claude Code CLI (remote session via Desktop App)
• macOS (Darwin 25.4.0)
• Teammates spawned via Agent Teams (tmux-based)