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1.8.2 LTARP (Leave to avoid roleplay punishment) is exiting the server when receiving an IC punishment, e.g. Brig time.
Since you left without getting permission from a staff member it falls under this rule. I understand the reason why you had to leave(Next time keep in mind if you are going off soon so you can avoid getting arrested.) If you would have called a staff member and asked if you could leave because of work in the morning there is a 99% chance that you would be allowed to leave and not fall under LTARP. So in my opinion you need to wait out the ban. And it is only 2 days big chance the staff manager wont see this until after the ban is over.