feat(core): implement persistent browser session management (#21306)

Co-authored-by: Gaurav <39389231+gsquared94@users.noreply.github.com>
Co-authored-by: cynthialong0-0 <82900738+cynthialong0-0@users.noreply.github.com>

packages/cli/src/utils/cleanup.ts

@@ -11,6 +11,7 @@ import {
   shutdownTelemetry,
   isTelemetrySdkInitialized,
   ExitCodes,
+  resetBrowserSession,
 } from '@google/gemini-cli-core';
 import type { Config } from '@google/gemini-cli-core';
 
@@ -72,6 +73,13 @@ export async function runExitCleanup() {
   }
   cleanupFunctions.length = 0; // Clear the array
 
+  // Close persistent browser sessions before disposing config
+  try {
+    await resetBrowserSession();
+  } catch (_) {
+    // Ignore errors during browser cleanup
+  }
+
   if (configForTelemetry) {
     try {
       await configForTelemetry.dispose();