Can I listen via Bluetooth over Apple TV 4K and not mute the TV speakers?

I am hard of hearing, and want to use the bluetooth feature of Apple TV 4k to pair to a bluetooth listening device, such as the Apple Airpods. Of course, this can be done, but can it be done while still allowing the TV speakers to operate? I would love for my wife to listen to the TV at a regular sound level, while at the same time allow myself to hear the TV through the bluetooth hearing devices. For now, she puts up with me turning the volume on the TV up to an abnormally high sound level for her.