Chat doesn’t broadcast moderator actions. So not sure why you are saying there were there are now are not.
Just CLEARCHAT (with a optional duration)
To monitor moderator actions you need pubsub or eventsub. (The former more likely)
See chat/chat_moderator_actions under PubSub | Twitch Developers
Will report room state changes and the like.
But not ban/unban/timeout/untimeout.
You’ll get responses that the “user you are logged in as” do in response.
But not actions that other people do