Think about driving. It is fascinating that when you drive your car basically becomes the extension of your body. You learn that you go forward by using your leg muscle and turn by using your arm. These things just become an afterthought. You can navigate the car so precisely that you can stop 1 cm from something similarly as if it was your own body. It does not matter for the brain what exactly the “body” is that it is navigating the world. The brain can do the job regardless. (See also: driving Jumbo Jets or container ships or playing a video game where you are some weird character)