Rewire widget to OpenClaw WebSocket protocol

[OpenCodeEngineer]

Summary

Replace client-side AI SDK agent loop with direct WebSocket to OpenClaw gateway.

Protocol

• Connect: wss:///ws with JSON frames
• Handshake: connect request with role, scopes, auth token
• Session: sessions.create / sessions.resolve
• Send: sessions.send
• Receive: sessions.messages.subscribe → session.message events

Files

• packages/widget/src/agent/loop.ts → replace
• packages/widget/src/ui/Widget.tsx → update
• packages/widget/src/index.ts → update init flow