What to do if a Place fits more than one type?

I have been trying to find out what Schema information to put on a web
page when a place would fit into more than one category.

 

For example Kinkaku-ji is a famous Buddhist Temple and UNESCO World
Heritage Site.

Should the Schema information included on a web page be for a
BuddhistTemple, a TouristAttraction or both?

 

Regards,

Craig Fryer