If you are going to argue a single dictionary definition, you should immediately stop holding a mouse when using a computer. Rodents don't like being held for long times, be connected electrically to a machine, nor do they like being rubbed on a pad.
I think the obvious answer here is to genetically engineer a "computer mouse" that can mentally work complex algorithms, as supplied via a pet training clicker.
Then, you'll be able to click your computer mouse to solve problems.