layover for turkish citizen in beijing/Guangzhou

Hello,
I recently booked a flight to Philippines with layover in Xiamen. We thought I could transit visa-free but that wasn't true (Xiamen was an exception apparently) + Chinese embassy also didn't give me a transit visum when I applied for it, saying that they weren't giving transitvisa for turkish citizens.
So I now have to book other flights, but most affordable flights go through China.
I found two flights, one through Beijing, and one through Guangzhou, and I want to be sure that for these I don't need the transitvisa. Do you know?
Thank you!