To get the most out of the image provided by the camera, I recommend using CAMO Studio or at least the software available from Elgato.

If the camera is connected to a laptop, the image can be transferred to the TV via the laptop. I would not recommend connecting the camera directly to the TV, either with the appropriate cable or with an adapter, as otherwise 4K60 will probably not be controlled natively and the image delivered will not be satisfactory.