Following some investigation, I have come to the conclusion to deny this appeal.
Our ban evasion check works based on family-shared accounts, meaning that you were banned based on family-sharing the game from a banned account, therefore the argument that you live within a college apartment complex is voided. If the banned account is indeed not yours, you'll need to purchase a new copy of Garry's Mod to play on our servers. If the banned account is yours, please appeal the ban on your main account first for it to be considered.
I doubt the fact that you have no affiliation with the banned account, as both the account listed in your appeal and the originally banned account share the exact same single friend and share a group. On top of this, both accounts share the name Brayden.