I think mine is first generation.
That would be unlikely.
The 1st generation received its last update (v3.0.2) in 2010-02. No longer functional.
The 2nd generation received its last update (v6.2.1) in 2014-09.
The 3rd generation received its last update (v7.4) in 2019-09.
The 4th generation received its last update (v13.2) in 2019-10.
The 5th generation received its last update (v13.2) in 2019-10.
The channel does not appear.
You would only have the Apple TV app with in-app channel features on Apple TV software version 7.3 or later.