How do I disconnect a working wireless mouse that doesn't appear in Bluetooth settings on MacBook Pro?

I want to disconnect the wireless mouse on my MacBook Pro that I'm using, but when I go to the Bluetooth settings and Mouse settings, my mouse doesn't appear even though it is working on the computer, so I cannot disconnect it. My bluetooth is on, discoverability on, i even tried to Shift+Alt to reset the bluetooth module, and tried to remove all devices. My mouse still doesn't show up on the MacBook and I don't know what to do.

[Re-Titled by Moderator]

Original Title: Wireless mouse won't show up in Bluetooth settings EVEN THOUGH IT WORKS ON THE MACBOOK.