Is "24-hour visa-free transit" possible in my case?

I have a question regarding my trip.

I plan to buy such tickets as below;
Los angeles-Guang zhou(transfer 3 hours)-Dalian(transfer 6 hours)-Incheon
During 6 hours of wait time in dalian, am i qualified for 24 hours free stay?

If I am eligible for 24 hours free stay, what document should I prepare to get it?
I am citizen of south korea.