Guangzhou and Wuhan Transit

Hello! I am a Philippine passport holder travelling from San Francisco to Manila with a stopover in Wuhan (2 hours) and another connection in Guangzhou (10 hours). I would like to ask if I need to obtain a Chinese visa? or do I qualify for the 24 hour stay permit provided that total transit time on Wuhan and Guangzhou does not exceed 24 hours?

*This is an overnight transit and China Southern Airline will provide a free hotel, but I'm worried if I will be required a visa or I'm eligible on 24 hour temporary stay permit and could leave the airport TEMPORARILY. THANK YOU FOR YOUR TIME!