Do I need an Apple Music subscription on top of Apple TV+ to watch Carpool Karaoke?

Because of a hardware purchase I have 1 free year of Apple TV+. Today I wanted to watch a Carpool Karaoke episode, but the only option to watch it was to open it in the Music App. And that required an Apple Music subscription…

Do I really need an Apple Music subscription on top of Apple TV+ to watch Carpool Karaoke?

It should be available on both services.

I saw that, but the behaviour on my iOS devices is as I described in my first post.

On my Mac (using your link to open the Apple TV App) I get this…

Did something change since that publication?

I do not have a TV subscription (I do have an Apple Music sub) but I watched it in the TV app. Never found it inside Apple Music (though it could be in there, hiding somewhere)

Maybe it differs per country/region?

Or perhaps since I’m signed in my account is marked as an AM subscriber so I’m granted viewing access?