I've been added to the apple development program (organization) as an Admin (with developer rights) via https://appstoreconnect.apple.com/
Access to Certificates, Identifiers & Profiles has been granted for my account as well.
BUT, the only Team for my account I have - is my "Personal Team", while it should be able to pick another Development Team. I've been trying to remove the account, and add it to XCode accounts section over and over again, no luck.
Is there something I am missing so far?
MacOS: 10.15.7 (19H1713)
XCode: 12.4 (12D4e)
After waiting for the Support to get back to me for two days, here is the answer that helped me, from the Apple Developer forum:
The following steps solved it for me: