refactor: Centralize session ID generation and propagation

packages/core/src/utils/nextSpeakerChecker.test.ts

@@ -71,6 +71,7 @@ describe('checkNextSpeaker', () => {
     chatInstance = new GeminiChat(
       mockModelsInstance, // This is the instance returned by mockGoogleGenAIInstance.getGenerativeModel
       'gemini-pro', // model name
+      'test-session-id',
       {},
       [], // initial history
     );

packages/core/src/utils/session.ts

@@ -0,0 +1,9 @@
+/**
+ * @license
+ * Copyright 2025 Google LLC
+ * SPDX-License-Identifier: Apache-2.0
+ */
+
+import { randomUUID } from 'crypto';
+
+export const sessionId = randomUUID();