There is no buy app on Apple TV
How can you buy a movie on Apple TV+ there’s no place to buy. It states how to watch and when you press that button
FireTVStickLite,
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Apple TV+ is a subscription service. When you subscribe to it, you have access to all the Apple Tv+ content. You don’t and can’t buy individual items.
If you wish to buy things from the iTunes Store that are by definition not included in the Apple Tv+ subscription service, then there should be a price next to them. Select the price to buy the item.