chromeos: Migrate SignOut and RequestRestartForUpdate to mojo interface

chrome/browser/ui/ash/system_tray_delegate_chromeos.cc

Index: chrome/browser/ui/ash/system_tray_delegate_chromeos.cc
diff --git a/chrome/browser/ui/ash/system_tray_delegate_chromeos.cc b/chrome/browser/ui/ash/system_tray_delegate_chromeos.cc
index c366ef5bcaca53df0b852c110d72bb3d1a4d8038..ad182666a5e1df52547a55e01e0f015bb6565fb7 100644
--- a/chrome/browser/ui/ash/system_tray_delegate_chromeos.cc
+++ b/chrome/browser/ui/ash/system_tray_delegate_chromeos.cc
@@ -54,7 +54,6 @@
 #include "chrome/browser/chromeos/policy/device_cloud_policy_manager_chromeos.h"
 #include "chrome/browser/chromeos/profiles/multiprofiles_intro_dialog.h"
 #include "chrome/browser/chromeos/profiles/profile_helper.h"
-#include "chrome/browser/lifetime/application_lifetime.h"
 #include "chrome/browser/profiles/profile_manager.h"
 #include "chrome/browser/supervised_user/supervised_user_service.h"
 #include "chrome/browser/supervised_user/supervised_user_service_factory.h"
@@ -401,15 +400,6 @@ void SystemTrayDelegateChromeOS::ShowUserLogin() {
   }
 }
 
-void SystemTrayDelegateChromeOS::SignOut() {
-  chrome::AttemptUserExit();
-}
-
-void SystemTrayDelegateChromeOS::RequestRestartForUpdate() {
-  // We expect that UpdateEngine is in "Reboot for update" state now.
-  chrome::NotifyAndTerminate(true /* fast path */);
-}
-
 void SystemTrayDelegateChromeOS::GetAvailableBluetoothDevices(
     ash::BluetoothDeviceList* list) {
   device::BluetoothAdapter::DeviceList devices =