I'm trying to piece together a last-minute OW award using my AA miles and was wondering if an open-jaw counts as a stopover in either of the airports on both sides of the open-jaw?

I've looked through the very valuable sticky covering OW awards on this forum but couldn't find an exact answer.

For example, consider the following routing (not including valid connections): DFW-SFO-JFK-(stopover in JFK)-CPT-(stopover in CPT)-JFK(open jaw return to DFW).

Does the open jaw include JFK as a stopover (thus invalidating the routing since I already have a JFK stopover)?

Thanks much,
FlyerBeek