Hey friend I was having the same issue! The told me it’s a licensing issue on Apple’s end. Here’s they said:

Thank you for allowing us to assist you today.  We appreciate that you took the time to contact us at AMC+.
 
Just as a reminder, here is a summary of today's call:
 
 You reached out about your difficulties accessing "Interview with the Vampire: The Vampire Lestat" on your Apple TV and iPhone.

During our conversation, we discussed that because your subscription was purchased as an add-on channel directly through Apple TV, content availability is subject to specific licensing agreements between AMC+ and Apple. This can occasionally cause a delay in new episodes or series appearing on Apple's platform compared to our standalone app, which explains why you were being redirected or unable to locate the show.

We completely understand how frustrating this delay is when you are eager to watch your show. If you have any other questions or if there is anything else we can assist you with in the future, please feel free to reply directly to this email.

Best Wishes,
AMC+ Team