Pur iPhone 14 pro max with 1year free Apple TV how do I activate

The offer through Apple is for 3 months, to claim follow the steps below (within 90 days of device activation)

1. Turn on your new Apple device and sign in with your Apple ID.
2. Open the Apple TV app. Make sure your device is running the latest version of iOS, iPadOS, tvOS, or macOS.
3. The offer should be presented immediately after you launch the app. If not, go to the Apple TV+ tab, where you’ll see the offer.
4. Tap Enjoy 3 Months Free.

That is the standard trial. In order to have access to claim the offer you need to be on your new device (iPhone 14 Pro) and it needs to be within 90 days after setting up the device.

If you’ve verified that and are still having trouble then contact Apple