Using the Macintosh Finder to navigate to Library / Application Support gives folders such as Apple and ApplePushService.
Using the Macintosh Terminal app to navigate to Library / Application Support seems to give a different folder without foldes such as ApplePushService.
It seems the Finder is showing a different "Application Support" folder.
How can I display the folder seen in the Terminal app in the Finder?
In Terminal.app, run this following code. Then once Finder reveals the folder, just drag the folder to your sidebar in Finder so you can easily navigate to it in the future.
open -R "Library/Application Support" (User's App Support folder)
If you want to reveal the Application Support folder which contains the ApplePushService folder, then use this code...
open -R "/Library/Application Support" (System's App Support folder)