feat: SSE push for worklist updates — instant missed-call notifications

New worklist SSE stream replaces the 30s frontend poll. When the
missed-call webhook creates a Call record, it emits a worklist-updated
event via the supervisor's worklistSubject. All connected agents
receive the event immediately.

- supervisor.service.ts: worklistSubject + emitWorklistUpdate()
- supervisor.controller.ts: @Sse('worklist/stream') broadcast endpoint
- missed-call-webhook.controller.ts: emits after createCall() with
  callerPhone + callerName for toast notification
- worklist.module.ts: imports SupervisorModule (forwardRef)

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

src/worklist/missed-call-webhook.controller.ts

@@ -1,7 +1,8 @@
-import { Controller, Post, Body, Headers, Logger } from '@nestjs/common';
+import { Controller, Post, Body, Headers, Logger, Inject, forwardRef } from '@nestjs/common';
 import { PlatformGraphqlService } from '../platform/platform-graphql.service';
 import { AgentLookupService } from '../platform/agent-lookup.service';
 import { CallerResolutionService } from '../caller/caller-resolution.service';
+import { SupervisorService } from '../supervisor/supervisor.service';
 import { ConfigService } from '@nestjs/config';
 
 // Ozonetel sends all timestamps in IST — convert to UTC for storage
@@ -24,6 +25,7 @@ export class MissedCallWebhookController {
         private readonly config: ConfigService,
         private readonly caller: CallerResolutionService,
         private readonly agentLookup: AgentLookupService,
+        @Inject(forwardRef(() => SupervisorService)) private readonly supervisor: SupervisorService,
     ) {
         this.apiKey = config.get<string>('platform.apiKey') ?? '';
     }
@@ -126,6 +128,15 @@ export class MissedCallWebhookController {
 
             this.logger.log(`Created call record: ${callId} (${callStatus})${resolved.leadName ? ` linked to ${resolved.leadName}` : ''}`);
 
+            // Push worklist SSE so agents see new calls instantly
+            // instead of waiting for the 30s frontend poll.
+            this.supervisor.emitWorklistUpdate({
+                type: callStatus === 'MISSED' ? 'missed-call' : 'inbound-call',
+                callerPhone: callerPhone,
+                callerName: resolved.leadName ?? undefined,
+                callId,
+            });
+
             // Step 3: Lead-side side-effects (activity log + contact stats)
             if (resolved.leadId) {
                 const summary = callStatus === 'MISSED'