72-hour rule if I am connecting to another airport afterwards inside China

Hello, I want to utilize the 72-hour visa-free transit policy in Beijing. My flight out of Beijing however will connect in Chengdu. I won't leave the airport in Chengdu, I will only connect to my flight to Los Angeles from there. I am originally entering China from Korea. Will it be a problem to use the 72-hour policy in Beijing? Thank you