Youre allowed to own a tv or other device for gaming and streaming. You just have to show them that you dont have an aerial or dish connected to receive live tv. Bbc iplayer also requires a license. You need to declare that you dont watch live tv or iplayer though, which is pretty easy to do on their website. Ive been declaring no license needed for about 10 years, ive never had an inspection, but I work most days in the week so that doesnt necessarily mean they havent tried.