Ownership is not retained in AI's.
So either way you are going to execute a script or command line to change permissions of the file (Or a RunOnExit command in your AI).
My suggestion is to do a file transfer and a execute if all you need to do is copy a file and change permissions.
Your task would look like this:
Deploy Software
Transfer Files and Folders - Target Operating System
C:\Temp\screansaver.scr to C:\Windows\System32\
Execute a Command - Target Operating System
C:\WINDOWS\system32\cacls.exe "c:\windows\system32\screeensaver.scr" /G Administrators:F Users:R
Hope this helps...