Hmmm...taking the scenic route!
No guarantees, but probably a 50-50 chance you will depart out of the E wing, which will cut your walk by about 50%.
There is a walkway between Terminal 2 and 3 behind security, so you don't have to worry about that. When you enter Terminal 3, its right at the E wing.
Oddly enough, the flight to NOLA left out of the C wing today, is part of Terminal 1. Historically UA has operated a very small number of flights out of Terminal 1. C Wing is a small wing, very close to Terminal 2 (AC comes into D Wing). Don't know when you are flying, but no way to know in advance where your flight with depart out of.