Nice article! Just two additions...
As we had the problem and according to my research multiple others as well, if you don't have the LAPS options in your GPO Administrative Templates:
The MSI installs the template and language files locally, you might want to copy them to SYSVOL
Example:
C:\Windows\PolicyDefinitions\AdmPwd.admx
to
\\yourdomain.fqdn\SYSVOL\YOURDOMAIN.FQDN\Policies\PolicyDefinitions\
And
C:\Windows\PolicyDefinitions\en-US\AdmPwd.adml
to
\\yourdomain.fqdn\SYSVOL\YOURDOMAIN.FQDN\Policies\PolicyDefinitions\en-US\
To be able to trigger a reset / change the expiration time it is necessary to set the permissions with the Set-AdmPwdResetPasswordPermission Cmdlet:
Set-AdmPwdResetPasswordPermission -Identity "RAServers" -AllowedPrincipals "ITAdmins"