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I imagine your setup is this:

With a trackpad: hot corners enabled

With a mouse: hot corners disabled

Is this correct?

If this is the case, I don't think there is a way. (there might be a way to do it with the opposite setup...)
 
Yup, that's right. I want hot corners when using the trackpad, but not when I'm using the mouse (when I can press stuff on the mouse to do the same thing).
 
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