I know about the Bluetooth transmitter - the other Problem is the Sonos dont work on Bluetooth -Only wifi - https://www.sonos.com/support/en/sonos-user-guide/index.html#t=sonos-user-guide/play1/play1.htmThe TV appears to have a digital optical output. If so, you can connect that to a Bluetooth transmitter. Bluetooth can be blinky, but the Avantree Oasis seems to be one of the better options.
Regards,
Wayne A. Pflughaupt