AppleCare+ not showing up in settings-about

I recently bought a Mac Studio. About a week after that I bought AppleCare+ for it on apples website. The day after I received warranty certificate and it shows up correctly on apples coverage website, all good. BUT now it has gone all most three weeks and it still does not show up under General->About.

I have two accounts on my computer both with the same apple-id, the same I bought AppleCare+ with. On one of them it says the computer is eligible for the standard 90 days after you buy a mac and the other account says the computer is not eligible for service and support at all. I have seen on other similar posts that I should be logged in to my apple-id AND turn on Find my. I have both on both accounts, but still it is not showing up.

I have called support and they can see in the systems that the computer is eligible for AppleCare+ but they can not understand why it is not showing up on the computer. Of course I probably don't need to worry since both the coverage site and apple support says it is ok, BUT I am a bit particular about these things and I am wondering if anybody knows how to solve this?