Managing personal Outlook.com account settings, security, and privacy
I understand that you're receiving the message, "That verification method isn't working right now. Please try another method." when trying to sign in. This message usually appears when your account is temporarily blocked due to unusual activity, a high volume of requests, or similar security-related reasons.
First, I suggest resetting your password and then trying to sign in again:
https://account.live.com/ResetPassword.aspx
If the issue persists, make sure you're using a device and location you've previously used to sign in. You can also try switching networks, such as using Wi-Fi instead of mobile data (or vice versa). Avoid making repeated sign-in attempts, as this may extend the temporary block. In some cases, waiting 24 hours or even up to a week may help resolve the issue.
For further assistance, use the Sign-in Helper tool to identify the problem and explore the available support options:
https://go.microsoft.com/fwlink/?linkid=2214157
Reference: See the "Try another verification method" section: