Changing Apple TV name in HomeKit

I am just beginning to transition to HomeKit for Smart Home. Right now one Apple TV, 4th generation, is linked. Because it is in family room I set it in Family when it asked which room.

I can start in Siri with...turn on Apple TV. But to turn off in Siri, I need to say turn off family. I'd like to be able to rename it Apple TV or AppleTV so I can use same name on Siri to turn on as well as off.

Advice?

PS Newest versions of Apple TV, Home app, iPhone and iOS. All up to date as of today, July 22, 2023.