Add keybinding action for toggling remote control

Feature Request

Add a bindable action (e.g. chat:toggleRemoteControl) so users can toggle remote control on/off for a session via a keyboard shortcut in ~/.claude/keybindings.json.

Motivation

Remote control is currently only toggleable through the settings menu or CLI flags. Other session-scoped toggles like fast mode (chat:fastMode), thinking (chat:thinkingToggle), and workflow keywords (chat:workflowKeywordToggle) already have keybinding actions — remote control should follow the same pattern.

Expected behavior

A new action like chat:toggleRemoteControl that can be bound in keybindings.json:

{
  "context": "Chat",
  "bindings": {
    "opt+r": "chat:toggleRemoteControl"
  }
}

This would toggle remote control for the current session, similar to how chat:fastMode toggles fast mode.