Japanese Tea Ceremony has three Japanese name: Chado, Sado, and Chanoyu. When would each name be used?

I heard that Chanoyu was used by all Japanese people, and Chado and Sado depend on which style of Tea Ceremony you practise, but it kind of doesn't add up... that, or I'm confusing myself.

Does anyone know when each one is used, and by who?

Thanks.

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