US citizen. Flying from South Korea to Beijing, staying 3 days, flying to Hong Kong, few hours

Hi good morning,

I hope you're having a great day. I realize you are the masters of learning about Chinese Visas, and I wanted to take my one question to the professionals.

I am a US citizen currently living in Jeju, South Korea. May I fly to China for one weekend using the 72 hour free transit under this itinerary?

Flight 1 2h 45m
Korean Air – Flight 879 (economy)
Operated by Korean Air 2h 45m
3:40p Fri, Mar 11 CJU Jeju City, South Korea
5:25p Fri, Mar 11 PEK Beijing, BJ, PRC

Flight 2 3h 40m
Air China – Flight 6511 (economy)
Operated by Dragonair 3h 40m
7:30p Mon, Mar 14 PEK Beijing, BJ, PRC
11:10p Mon, Mar 14 HKG Hong Kong, Hong Kong

Flight 3 5h 55m
Korean Air – Flight 616 (economy)
Operated by Korean Air 3h 15m
2:05a Tue, Mar 15 HKG Hong Kong, Hong Kong
6:20a Tue, Mar 15 PUS Busan, South Korea

Flight 4
Korean Air – Flight 1003 (economy)
Operated by Korean Air 0h 55m
8:05a Tue, Mar 15 PUS Busan, South Korea
9:00a Tue, Mar 15 CJU Jeju City, South Korea

Thank you again for looking over this I really appreciate it.
All the best.

Cheers,
Stuart Cohen