not familiar with c13 is this a cabinet?
would supect you would be better off doing it inside your home or even garage but your initial problems with growing in a storage shed or building would be.
does the building even have electric as its not safe to be using extension cords and neighbors may wonder why you have a window a/c unit in your storage shed. and your neighbors may also wonder why you spend so much time in your storage shed depending on how large of a grow you are doing it can take awhile to care for plants.