feat: persist settings and enrich conversation context

tests/dashboard/realtime-client.test.ts

@@ -83,6 +83,16 @@ describe('dashboard realtime client', () => {
         type: 'sync.progress',
         payload: { syncId: 'sync-1', kind: 'media', completed: 2, total: 5 },
       }),
+    ).toEqual([
+      ['operations', 'sync-status'],
+    ]);
+    expect(
+      queryKeysForDashboardEvent({
+        id: 'completed',
+        occurredAt: '2026-08-08T12:00:01.000Z',
+        type: 'sync.completed',
+        payload: { syncId: 'sync-1', kind: 'conversations', processed: 5 },
+      }),
     ).toEqual([
       ['operations', 'sync-status'],
       ['conversations'],