Thunder has experimental support for it. You’ll also need a unifiedpush distributor installed. F-Droid has a good explainer on UnifiedPush at https://f-droid.org/2022/12/18/unifiedpush.html
I don’t know whether it’s the case here (it’s the biggest sale of the year regardless), but often game developers will have licenses for some of the content in the game (music, most often), and when those licenses are soon expiring they do a fire sale on it. The previous Forza Horizon game comes to mind.
It’s using LE Audio, which is a new tech explicitly designed for this. Syncing audio should not be an issue, at least once it has some time to mature and client devices improve support https://www.bluetooth.com/blog/10-frequently-asked-questions-on-le-isochronous-channels/
It does not run at all https://www.protondb.com/app/2537590
Vegging out playing PC games on your TV is a niche of a niche. I’m already a member though.