The Task Scheduler itself runs under the LocalSystem account but it requires a regular domain user account for any task. This can be either a local domain account like COMPUTER\Account or a global domain account like DOMAIN\Account. If you want to use the Localsystem account, then you'll need the password for this. The only way to get this password, AFAIK, is to run a brute-force attach on the local SAM of the spoecific computer.

Why is it not sufficient to e.g. create a user account for TaskScheduler Task or using an existing local/domain user account?
_________________________
There are two types of vessels, submarines and targets.