Revert of ash: Use system tray mojo interface to show system update tray icon

ash/common/system/tray/system_tray.h

Index: ash/common/system/tray/system_tray.h
diff --git a/ash/common/system/tray/system_tray.h b/ash/common/system/tray/system_tray.h
index 635e1d7910ff545afac888f6f843b0815c69ea1e..1df9954a666fa10a5a85e57550766d53d10f958c 100644
--- a/ash/common/system/tray/system_tray.h
+++ b/ash/common/system/tray/system_tray.h
@@ -47,8 +47,6 @@
   explicit SystemTray(WmShelf* wm_shelf);
   ~SystemTray() override;
 
-  TrayUpdate* tray_update() { return tray_update_; }
-
   // Calls TrayBackgroundView::Initialize(), creates the tray items, and
   // adds them to SystemTrayNotifier.
   void InitializeTrayItems(SystemTrayDelegate* delegate,
@@ -170,6 +168,7 @@
   TrayNetwork* GetTrayNetworkForTesting() const;
   TraySystemInfo* GetTraySystemInfoForTesting() const;
   TrayTiles* GetTrayTilesForTesting() const;
+  TrayUpdate* GetTrayUpdateForTesting() const;
 
   // Activates the system tray bubble.
   void ActivateBubble();