@Nick Bobak Apologies for the delayed response. As per the last update which I have got from my engineering team, we have excluded one of the Global admin accounts from the conditional access policy which caused this lockout.
This exclusion would be valid for next 24 hrs, would request you to login to your tenant at earliest, make changes to the policy so that others can login/access resources.
From next time onwards try to have emergency accounts - https://learn.microsoft.com/en-us/entra/identity/role-based-access-control/security-emergency-access
Let me know if you have any further questions, feel free to post back.