Update to using new azcopy auto-login (Azure#21844)

azcopy login is going to be deprecated soon in version 10.22 so
we need to move to the new auto-login model that is documented at
https://learn.microsoft.com/en-us/azure/storage/common/storage-use-azcopy-authorize-azure-active-directory#authorize-a-service-principal-by-using-a-client-secret

Co-authored-by: Wes Haggard <Wes.Haggard@microsoft.com>