24 hour visa free--transit through 2 airports in China

I am a citizen of the United States.
I have a flight from BKK, Thailand to SFO, United States .There is one transfer in Guangzhou and one short stop in Wuhan.
Am I eligible for free transit service? I will be leaving the Chinese airports within 24 hours.

I will not be leaving the airport in Guangzhou and Wuhan; all transits will be made by air. I know I can't use the 72 hour free exemption because there are multiple airport stops in China.