Have you tried moonlight? An alternative to steam link. You can use install it on the lg tv by sideloading the app.

Alternatively, you can plug in a Raspberry Pi that runs steam link :)

My LG C2 hardware isn't powerful enough to stream higher than 60hz at 1080p, if I remember correctly. It also needs a LAN cord for consistency since the tv wifi adapter is not good. Instead I put moonlight on my steam deck and plugged that into the tv.

Oh yeah I’m aware of various “plug in a thing” options, just thinking it wild be nice to have to, particularly if a single controller paired to the TV itself could operate the outer shell as well as Xbox and steam streaming.