Tickets on separate itineraries in and out of Beijing

Hi, I am from Australia and I will be backpacking around Europe for 6 weeks before heading to Central Asia for 6 weeks. I was then planing to visit China for 1 month before heading to South Korea. I was looking at applying for a L tourist visa, but unfortunately due to Chinese Visa restrictions by the time I get to China my visa will exceed the 3 month expiry date. So I am now looking at a 144 hour visa free transit option. I will look at booking a flight from Almaty (Kazakhstan) to Beijing. Spend 144 hours there and then I will book a flight from Beijing to South Korea. These flights will be on separate itineraries - will this be a problem?