Steam, Origin and EA Play mix up

Here's my situation rn.

I purchased FIFA 22 through steam. I did not have EA Play then, so i linked it with Origin as usual.

Now i got EA Play through Xbox Game Pass. I can log in to EA Play through steam credentials as well as origin credentials. But I only see the games i purchased through Origin like FIFA 17. FIFA 22 is not showing up on EA Play.

But when I log in to Origin or open Origin through Steam, I can see FIFA 22 (steam) in my game list on Origin.

I can't understand why, I have steam linked to origin, i have ea play through xbox game pass. I have steam linked to xbox gaming. I have origin linked to EA Play. I can open EA Play using steam. Why cant I see/open/play FIFA 22 through EA Play? Isn't Origin and EA Play the same platform just renamed? Shouldn't they have a migration system to help migrate games from Origin to EA Play?