Running logoff script for local user

Running logon/logoff script for a domain user is easy through group policy.
I've figured out how to use the runonce key (set via Group Policy) to run a
logon script for a local user but can't figure out how to run a script when a
local user logs off. The local user is defined on most workstations and
always has the same name. It doesn't matter to me if the same script runs
for all users as long as it runs for the local users as well.

Thanks!

Running logoff script for local user