No need to be so drastic! - just put it on the other side of your desk.
I've done this a few times when I've needed the space for taking notes. I'm now pretty good at mousing with either hand - but the key part is not making mousing more annoying, like it was the first time I swapped, but rather just making you realise when you're reaching for it. That gives you a chance to consciously think about what you're about to do. And then you have a chance to decide that you're going to figure out how to do it with the keyboard.
I've done this a few times when I've needed the space for taking notes. I'm now pretty good at mousing with either hand - but the key part is not making mousing more annoying, like it was the first time I swapped, but rather just making you realise when you're reaching for it. That gives you a chance to consciously think about what you're about to do. And then you have a chance to decide that you're going to figure out how to do it with the keyboard.