See message IDs for own messages?

The bot can’t delete/moderate itself.

And if it needs to be removed the mod can’t delete it either.

Assuming the bot is a mod on the channel.

So the bot knowing the ID of the message it sent doesn’t help, as the bot cannot remove it itself only a higher user can, which would be the broadcaster in this instance. (assuming the bot is a mod and if it isn’t it can’t do anything anyway)