Do I qualify for 72 hour free transit? itinerary is in details

Hello!

My mother and I are traveling in November to Asia, and I was wondering if we would qualify for the 72 hour free transit at Peking Airport in Beijing based on our itinerary below. You will see below we are flying from New York to Seoul, then from Seoul to Beijing, then from Beijing to Seoul for our final stop over and then leaving back to New York the same day. Our time in Beijing based on our scheduled arrival and departure flight in and out of Peking International is 70 hours and 10 minutes.
KE086
· New York(JFK) - John F. Kennedy
· Nov 6th (Mon) 00:50
· Terminal 1
· Seoul/Incheon(ICN)
· Nov 7th (Tue) 05:15
· Terminal -No content

Economy(U)1 seats
B747-8I Open new window for the fleet information
KE5801
· Seoul/Gimpo(GMP)
· Nov 11th (Sat) 12:30
· Terminal I
· Beijing(PEK)
· Nov 11th (Sat) 13:35
· Terminal 2

Economy(U)1 seats
operated by CHINA SOUTHERN AIRLINES
KE2852
· Beijing(PEK)
· Nov 14th (Tue) 11:45
· Terminal 2
· Seoul/Gimpo(GMP)
· Nov 14th (Tue) 14:55
· Terminal I

Economy(U)1 seats
B777-200ER Open new window for the fleet information
KE085
· Seoul/Incheon(ICN)
· Nov 14th (Tue) 19:30
· Terminal -No content
· New York(JFK) - John F. Kennedy
· Nov 14th (Tue) 19:30
· Terminal 1
Economy(U)1 seats
B747-8I