Of the places you listed, the Yak & Yeti quick service is outdoors. I'm not certain about the Liberty Inn if you are referring to the quick service at the American pavilion in Epcot.
All are indoors besides the Yak & Yeti counter service location, which is mostly shaded. If you're referring to the Yak & Yeti table service restaurant, that is inside.
Of the places you listed, the Yak & Yeti quick service is outdoors. I'm not certain about the Liberty Inn if you are referring to the quick service at the American pavilion in Epcot.