Is a CS, EE, CpE Triple major possible/advice?

A break from all the drama, I have a question about a triple major. I know that CpE is basically just CS and EE put into one, would it be possible to have all three on a transcript?

After planning out all my classes, I'm pretty sure I can accomplish a CS EE double major in my four years. Maybe I'll do a summer session. What do you think? Should I do CS/EE? Or just stick with CS? Or CS/CpE?