That is unfortunately as expected for that model. The A1469 (and earlier models) do not connect to iCloud anymore since 2023, due to changes in iCloud, for which no updates came for these models Apple TV box.
Also see: discussions.apple.com/thread/255664587
You can use the remaining functionality, but iCloud services are no longer an option with this model (or earlier models). Just skip trying to sign in for iCloud.
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Signing in for iTunes Store services may also work a bit different regarding two-factor authentication:
If you have an Apple TV (2nd or 3rd generation) and two-factor authentication for your Apple Account, then you may be asked to type your password followed by the six-digit verification code directly into the password field. Additionally, there is a time limit, after which the code becomes invalid.
If that happens to you, try this: First enter the characters of your password (do not submit yet), then manually request a new verification code (if your device and its OS version support that), then append that code to the password (no spaces or other separating characters), and then submit. That should help you get passed the time limit.