what is the difference between Apple TV and Apple TV

Perhaps you are asking about Apple TV+

Apple TV is Apple's streaming box. It can play content on your television streamed from your devices in the home, and show paid content from providers such as Netflix (to name one of many) as well as Apple's own streaming service.

Apple TV+ is Apple's subscription service for television and movies.

Apple TV App is the software Apple provides for Macs and iOS devices for watching Apple TV+ content, and for installing on other streaming devices including some smart televisions.

Apple TV Plus is only designated for the service, which is found within the Apple TV app. Samsung have specific models that they have designated for the app so make sure you check that first (see below). In the event that you have verified compatibility then you may also want to check out the linked instructions from Samsung. If you have loaded the app and are having issue then check to ensure you aren't using any VPN or other settings that are masking your location.

• Samsung QLED 8K Q9, Q8 Series (2019, 2020)
• Samsung QLED 4K Q9, Q8, Q7, Qx Series (2017, 2018, 2019, 2020, 2021)
• Samsung UHD 8, 7, 6 Series (2017, 2018, 2019, 2020, 2021)
• Samsung FHD/HD 5500, 5300, 4500, 4300 Series (2017, 2018, 2020)1
• Samsung Serif Series (2019, 2020)
• Samsung The Frame Series (2017, 2018, 2019, 2020, 2021)1
• Samsung The Sero Series (2019, 2020)1

https://www.samsung.com/us/support/answer/ANS00082624/