email: real-time IMAP IDLE watchers (push on new mail); cron kept as backstop

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

src/servers/sidecar/email/index.ts

@@ -1,6 +1,7 @@
 import type { SidecarEvent } from '../protocol';
 import type { Job, EnqueueParams } from '../../queue/types';
 import { initEmailCron, stopEmailCron } from './email-cron';
+import { initEmailIdle, stopEmailIdle } from './email-idle';
 import { createSidecarConnector } from '../connect';
 
 const API_URL = process.env.API_URL ?? `ws://127.0.0.1:${process.env.PORT ?? '5000'}`;
@@ -84,6 +85,8 @@ const connection = createSidecarConnector({
   onConnected() {
     // Start email cron once connected (so queue commands can reach API server)
     initEmailCron();
+    // Real-time push via IMAP IDLE; the cron above is the slow backstop.
+    initEmailIdle();
   },
 });
 
@@ -91,6 +94,7 @@ const connection = createSidecarConnector({
 
 function shutdown(signal: string) {
   console.log(`[email] ${signal} received, shutting down...`);
+  stopEmailIdle();
   stopEmailCron();
   connection.destroy();
   process.exit(0);