How to set 'Authenticated Users' permissions on a given file via scripting on Win 7 +

Question

I have this script file which is currently doing setting the 'Authenticated Users' permissions for an executable to 'ReadAndExecute' - it works fine on Windows 10, but it needs to work on Windows 7 - and it's not:

$file = (Resolve-Path 'c:\Dir\file.exe').Path; 
$acl = (Get-Item $file).GetAccessControl('Access'); 
acl.SetAccessRuleProtection($True, $True); 
$ar = New-Object System.Security.AccessControl.FileSystemAccessRule('Authenticated Users', 'Write', 'None', 'None', 'Allow'); 
$acl.RemoveAccessRuleAll($ar); 
$ar = New-Object System.Security.AccessControl.FileSystemAccessRule('Authenticated Users', 'Modify', 'None', 'None', 'Allow'); 
$acl.RemoveAccessRuleAll($ar); 
$ar = New-Object System.Security.AccessControl.FileSystemAccessRule('Authenticated Users', 'ReadAndExecute', 'None', 'None', 'Allow'); 
$acl.SetAccessRule($ar); 
Set-ACL -Path $file -AclObject $acl; 

This runs, but it doesn't set the permissions for Authenticated Users, if I change the GetAccessControl call to not have the 'Access' parameter, on Win7 I get this error:

The security identifier is not allowed to be the owner of this object.

Is there anyway to achieve what I'm trying to do?

Extra requirements:

• I cannot install another app on the machine, consider it a vanilla install of Win 7
• It has to run non-interactively - as it's part of an unattended install script