Apple TV will not run the Zwift app with their current 1.29.0 version on TV OS 16. It will not pair with Hr and the smart trainer as previously possible with earlier software.
The temporary solution is to log in as normal. When you get the “Bluetooth Error” message (which you will every time you try to run the app) - simply select “unpair all devices”. Then you must pair items in this EXACT order. First pair “Power source” (the smart trainer will automatically list as connected, and (ORDER IS CRITICAL) then pair cadence (it will pair with the same bluetooth channel as the power source and smart trainer. LASTLY pair heart rate.
You will have to do this EVERY SINGLE TIME YOU START THE APP UNTIL ZWIFT CORRECTS THEIR TV OS APP.