Mod Chat and Logging
Clearly Im not the first to suggest a mod chat but this includes more than just a chat. One of the channels I mod gets a few hundred players regularly and sometimes we get big waves of trolls and kinda end up stepping on each others' toes when it comes to modding. Also we currently use discord to contact each other but it would be useful to talk to just those in the stream currently as well about things in the moment.
But personally just picturing it being like /message but /mc or /modchat which would also include mod actions. So if I ban someone for breaking a rule a message shows in chat saying "Naj banned LameTroll" rather than you get 3 mods banning/timing out one person at the same time.