feat: Wave 1 complete — state machine, Paseo hub, collision detection, PTY search

- Task state machine: TIMED_OUT state, retriable steps, timeout detection
- Paseo hub: paseo-client.ts (HTTP+CLI), PaseoBackend (AgentBackend), 14 tests
- Collision detection: collision-detector.ts, conflict-index.ts, ws-frames type
- PTY search: ring buffer, search route, capture-pane fallback

apps/booterm/src/ws/attach.ts

@@ -9,7 +9,7 @@ import {
 } from '../pty/manager.js';
 import { attachPty } from '../pty/pty.js';
 import { getUser } from '../auth.js';
-import { register, unregister } from '../pty/registry.js';
+import { register, unregister, appendOutput } from '../pty/registry.js';
 
 export function registerWsAttachRoute(app: FastifyInstance, tmuxConfPath: string): void {
   app.get<{
@@ -106,6 +106,8 @@ export function registerWsAttachRoute(app: FastifyInstance, tmuxConfPath: string
         } catch (err) {
           req.log.warn({ err }, 'ws send failed');
         }
+        // Feed the ring buffer for pattern-based search
+        appendOutput(pid, data);
       };
       handle.onData(onData);