How to change Apple ID information?

As I paired a new AirTag to my iPhone today, I got the warning about use and misuse. But it showed an old phone number for me. On the iPhone, Settings > [my name] showed the correct phone number. On my Mac, System Preferences > Apple ID showed the correct phone number. On the web, appleid.apple.com (I think that’s the web address I used) showed the correct phone number. And pairing a second AirTag to my iPhone showed the old phone number.

What’s going on? Should I care? If I should care, how do I update the old phone number?