I'll have a tight connection on AA on a Friday evening at DFW next week. Incoming from LAS lands in terminal C. Outgoing to FWA departs from terminal B. Based on the airport map, it looks like there are two ways to get from C to B and they are equal in distance. Below is one of them, from what I can tell from the map.

1. From the landing gate in C, walk toward the lower numbered C gates
2. When I get to C2, take a right to go to terminal A.
3. Upon arrival in A (near gate A39) take a left to go to terminal B

Is that correct, and is it the best route? Thanks.