[FEATURE] Add IDE connection status to custom status line JSON payload

When using a custom status line script via settings.json:

{
  "statusLine": {
    "type": "command",
    "command": "~/.claude/statusline.sh"
  }
}

The JSON payload passed to the script does not include IDE connection status. This makes it impossible to display IDE connection state in a custom status line.

Current JSON payload includes:

• cwd, workspace.*
• model.display_name, model.id
• context_window.used_percentage
• cost.*
• version, session_id

Missing:

• IDE connection status (e.g., ide.connected, ide.name)

Requested addition:

{
  "ide": {
    "connected": true,
    "name": "Cursor"
  }
}

Use case:
I want my status line to show:

📁 my-project | Opus 4.5 | 42% ctx | Cursor

Currently I can only show "No IDE" or omit it entirely, even when /ide status confirms a connection.

Environment:

• Claude Code version: 2.1.62
• OS: macOS