"When I was flat out with the Jordan team."
Flat out = 100% , definitely, truthfully, completely
Other examples:
"He flat out lied to me."
"I flat out told her no."
Jordan wanted to drive (because he enjoys it), but back when he was busy taking calls, he couldn't. So, he felt upset (cheated) that someone else was driving for him.
To be cheated is to be wronged or to miss out on something.
He saw it as missing out on the fun of driving.