Use new project template (#10378)

diff --git a/dev/integration_tests/ui/ios/Runner/AppDelegate.m b/dev/integration_tests/ui/ios/Runner/AppDelegate.m
index 32e6760..dfa4361 100644
--- a/dev/integration_tests/ui/ios/Runner/AppDelegate.m
+++ b/dev/integration_tests/ui/ios/Runner/AppDelegate.m
@@ -3,17 +3,13 @@
 // found in the LICENSE file.
 
 #include "AppDelegate.h"
-#include "PluginRegistry.h"
+#include "GeneratedPluginRegistrant.h"
 
-@implementation AppDelegate {
-  PluginRegistry *plugins;
-}
+@implementation AppDelegate
 
 - (BOOL)application:(UIApplication *)application didFinishLaunchingWithOptions:(NSDictionary *)launchOptions {
-  FlutterViewController *flutterController =
-      (FlutterViewController *)self.window.rootViewController;
-  plugins = [[PluginRegistry alloc] initWithController:flutterController];
-  return YES;
+  [GeneratedPluginRegistrant registerWithRegistry:self];
+  return [super application:application didFinishLaunchingWithOptions:launchOptions];
 }
 
 @end