dark ant that would be mechanical engineer

Systems engineer would be good but not for that line of work.
if You really wanna do some cool stuff with robots I suggest you start looking at the big manufacturing companies. especially the automotive industry if you wish to do cool stuff with robots.
And learn lots of PLC , fluids and electrical.
I also suggest a minor in chemistry or biology to round off your education.
If you get into GM or any large company like that ... After a few years inform them that you wish for them to pay for your MBA. And round off your education that way.
Professional Degrees are very important and will help you later on in life when you need a change of pace from the world of manufacturing.
But you will learn more about robots there than anywhere else.