[Mac] Don't pre-emptively update the profile name in the avatar bubble after an update.

chrome/browser/ui/cocoa/profiles/profile_chooser_controller.mm

Index: chrome/browser/ui/cocoa/profiles/profile_chooser_controller.mm
diff --git a/chrome/browser/ui/cocoa/profiles/profile_chooser_controller.mm b/chrome/browser/ui/cocoa/profiles/profile_chooser_controller.mm
index d686923f440359cf6c57661772d2f5a95333b9ca..e9f12d34455c85cb61093b6cc308c6f5f1384eb5 100644
--- a/chrome/browser/ui/cocoa/profiles/profile_chooser_controller.mm
+++ b/chrome/browser/ui/cocoa/profiles/profile_chooser_controller.mm
@@ -681,7 +681,6 @@ class ActiveProfileObserverBridge : public AvatarMenuObserver,
     profiles::UpdateProfileName(profile_, newProfileName);
     [controller_
         postActionPerformed:ProfileMetrics::PROFILE_DESKTOP_MENU_EDIT_NAME];
-    [self setTitle:base::SysUTF16ToNSString(newProfileName)];
   } else {
     // Since the text is empty and not allowed, revert it from the textbox.
     [profileNameTextField_ setStringValue:[self title]];