Allow moderators to delete each others messages
Moderators sometimes manage game lobby links or somilar for their streamers. As such the links may get copied to the clipboard easily. If there are procedures in place to greet users or similar, then it might happen that moderators accidentally post sensitive information into the chat.
Also, a rogue moderator may abuse their rights or post unwelcome messages.
Thus, moderators should have the option to delete their own and other moderators' messages.

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Gnare commented
+1 on this. There needs to be a way to delete messages sent by other mods -- would be extra-nice if it would delete only that one message (but that functionality should exist for everyone, anyway)
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WoodyNZ commented
I would love the ability to delete my own messages as even as a mod, can make a mistake in a message.
Also agree that maybe limiting it to Editors only to keep some control in case things get out of hand. -
AgentDave7 commented
Due to typos alone, I wish I could delete at least my own comments as a Mod.
Sometimes I would like to be able to delete other Mod's comments. If it's a free-for-all for Mods and not given to certain ones (such as Editors only), it could be misused easily and things could get out of hand quickly.
It would be super handy for channels that have "Mod for a Day" as well.
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ExiteraTV commented
+1 I sign this idea immediately because it can be important in other situations to delete a message from other mods