Getting the Hogwarts game recently, my wife really wants to watch while I play it by obviously don't want to sit at my desktop to do it. I like using my Xbox controller to play some games and would use it while using the TV.
My Xbox died and I don't really feel like replacing it.
We have an old Apple TV but it's pretty old, still has the toslink output which is why I bought it.
Nvidia Shield is doing away with it's GameStream but apparently can run the Steam app. Not really sure how those two are different and how good the app runs. Sounds like I would need the Pro version here.
Last option is a mini desktop setup at the TV. However if it's running Windows 10, I don't know how to let my main desktop run the game and only have the mini desktop accepting video feed. I have a 3090 upstairs vs. whatever integrated GPU will be in the mini desktop.
The TV seems like it's the one bloody place in the house that doesn't have an ethernet outlet at it so will need something capable over Wi-Fi.
Lastly, there are some websites that I use to watch soccer so if any of these options have an easy browser option or can install relevant apps that's a bonus.