TL4 is an elevated account that can edit/delete posts
Category Moderators can manage flags; however unless something has changed. The Cat Mod can only “agree”, “Disagree” or “ignore/defer” a flag.
Full site Moderator/Admin is required to ban/delete/anonymize user accounts.
A general good thing to do is to have your TL4 and/or Cat Mods either reflag post as Other and @mention a full mod for assistance. That or message a full mod with a link to the post/user.