Samsung TVs run Tizen OS, not Android TV, so obviously no "Google Play Store".
Also apps are pretty restricted, most are just able to use web-technologies, so nothing heavy-handed.
The process in getting TV Apps approved on platforms like Samsung's Tizen OS is pretty annoying for most developers/open-source stuff.
There is an actual app for Tizen TVs, but it needs to be sideloaded manually: https://github.com/jeppevinkel/jellyfin-tizen-builds
etc.