Mini Air Conditioner

I am purchasing an Amcor APC 2000E Portable Air Conditioner 1000 BTU/hr.
It is a small 30 lb ac unit that I will use for very small areas like my desk at work. My question is, if I were to run my TM ac which is 12 years old and side mounted, could I use this to boost the cooling effect or would I blow a fuse?

Cheri