Pair a Sony ps-lx310bt Bluetooth Turntable with Apple TV via Bluetooth

Hi there. Title says it all. Is this possible? I’ve tried to pair the sony ps-lx310bt to my Apple TV with no success. Any ideas? For what it’s worth, the Apple TV is wired to a Samsung Smart TV, which is turn wired to a Sonos Arc sound bar. I would pair the sony ps-lx310bt directly with the Arc if I could, but alas, it does not support Bluetooth. Also, the turntable can not be paired with the Smart TV’s bluetooth; that much I know for sure,

Thank you.