refactor(chat): route browser chat through one runtime (P3 Slice-Zero Task 5) (#1172)

Co-authored-by: shaggy <[email protected]>

apps/gateway/src/conversations/conversations.module.ts

@@ -1,7 +1,14 @@
 import { Module } from '@nestjs/common';
+import { ChatModule } from '../chat/chat.module.js';
 import { ConversationsController } from './conversations.controller.js';
 
+/**
+ * Imports {@link ChatModule} solely to inject its exported {@link ChatRuntimeRouter} into
+ * {@link ConversationsController}, so the REST write fence reads the same init-time runtime mode the
+ * router resolved — one source of truth, no duplicate provider, no global token, no AppModule edit.
+ */
 @Module({
+  imports: [ChatModule],
   controllers: [ConversationsController],
 })
 export class ConversationsModule {}