US Citizen. Can I also get a 24 stay permit at Beijing airport?

So I will be flying from Seoul to Beijing and onto North Korea with less than 24 hour layover. Same rule apply for me? I'd like to get a 24 hour stay permit at the Beijing airport without any prior visa application or fees.

I will have a copy of my North Korea tickets and Visa.

The Chinese consulate is saying I should get a transit visa but those are expensive.

I then understand I can get a tourist visa in North Korea for my return to China. Comments.....please....