Locked out due to Conditional Access policy, can't access support and phone support goes into an AI loop with no way to contact a person or the Data Protection Team

Question

We have enabled a conditional access policy that targeted global administrators to require phish-resistant MFA. This immediately locked out all three of our global administrators and all we get is a "You can't get there from here" error message. It was my understanding that our Global Admin accounts had already had this set up but it doesn't prompt for any of those methods. The page where this policy is enabled from doesn't do anything to prevent us from doing this despite the fact that it should be able to tell if none of our admins could satisfy the policy.

We need this policy to be disabled so we can log in. We don't need any passwords or MFA to be reset. This should be a relatively quick support event however I can't even get to the relevant team and neither can our CSP. I opened a case 4 days ago (Support request PII removed) which says I can expect a contact within 8 hours.

I have called several times and the IVR just hangs up once it knows we can't log in and have an existing case. I don't want to keep opening new cases with the AI agent and it won't let me do anything else. Could someone please get me in touch with the Data Protection Team or let me know of a way to do so as a Microsoft Partner that can't log into the support portal?

Thank you!