AppleID do not accept the correct password while signing to App Store
I cannot sign to the Apple ID in the App Store.
System do not accept the password, even though the password is correct.
I used it now to sign up to Apple support as well.
The problem occurs on both Mac computers.
New Mac with macOS Big Sur and my old Mac with OS X Yosemite version.
I tried to uninstall App Store app on old computer, first in launchpad and then in Finder but I got a message App Store can"t be modified or deleted because it's required by OS X.
Please help
MacBook Air 13″, OS X 10.10