feat: centralized PTY-scoped session state, sync engine debug panel, lifecycle states, WS monitor

- Refactor session state to use ptySessionId as primary key across all components
- Add SessionStateManager with PTY-scoped hook processing, approval tracking, notifications
- Add sync-engine debug panel (AgentStatesSection, HookTimelineSection, TerminalRegistrySection, WsMonitorSection)
- Add useLifecycleStates composable for continuous state chips (session, responding, tool, subagent, compacting)
- Add WS monitor endpoint and composable for real-time connection health
- Enhance SessionLifecycleStatus with animated state chips and badge counts
- Enhance SystemMessage with expanded content and better formatting
- Update hooks (approval-permission, approval-plan, notify) with pty_session injection
- Update approval system to derive pending lists from PTY-scoped state
- Update ChatContainer with PTY-derived agent status and lifecycle events
- Update AgentBadge with PTY-scoped status colors
- Improve PiP window, approval window, and loading window handling

server/routes/claude-hook.ts

@@ -12,6 +12,9 @@ export async function handleClaudeHook(req: Request): Promise<Response | null> {
     let agent = url.searchParams.get('agent') || ''
     const body = await req.json() as HookPayload
 
+    // Read PTY session ID from env-injected query param
+    const ptySession = url.searchParams.get('pty_session') || ''
+
     // Auto-detect agent from session_id or transcript_path
     if (!agent && body.session_id) {
       agent = sessionState.findAgentBySessionId(body.session_id) || ''
@@ -54,8 +57,8 @@ export async function handleClaudeHook(req: Request): Promise<Response | null> {
       }
     }
 
-    // Inject agent name into hook data for WS consumers
-    const hookData = { ...body, agent_name: agent }
+    // Inject agent name and PTY session into hook data for WS consumers
+    const hookData = { ...body, agent_name: agent, pty_session: ptySession }
 
     // 1. Broadcast full hook data via WebSocket (always, even for subagents)
     try {