The forum has only two admins, and since I have been on the forum (6 years), I have only witnessed once that one admin has publicly commented on the perma ban he has personally removed (
bill gator case). So forget about admins who certainly don't deal with things like this, and also mods that can't remove your ban - only global mods can. Your case is under the jurisdiction of global mods, or rather in the hands of one of them who is most active on the forum.
Very limited bans because of plagiarism were handled later with softer restrictions (signature ban for 6 months, 1 year, 2 years) and temporary account ban.
Ban appeal needs time to be handled by global moderators or admins (rarely). First, they need to be online. Second, they have to go through reports, post history, checking for plagiarism on their sides. Second chance will be applied after very in-depth and careful investigation.
OP has to be very patient about this ban appeal. Make noise does not help. Being too hurry does not help. Your ban appeal topic is enough and you can bump it every 24 hours.