Hey there! Nice to meet you!
If you do not have any linked verification methods for a password reset, the only way to recover the account is through the account recovery web form: https://account.live.com/acsr
Important: If you have an active 2FA, ACSR will inform you that your recovery request will be ignored. If you only receive a message that the recovery request is either successful or indicates insufficient information, this means that 2FA is disabled.
You'll need to keep trying until you're verified by Microsoft, and you can do this up to 2 times every 24 hours.
If your Microsoft account recovery request was not granted, please review this link for tips on improving your chances of a successful recovery: https://support.microsoft.com/office/dc56c3e3-dff0-4ed5-8edb-60290eea6b53
Please be advised that Microsoft Support will not be able to grant you access to your account.
Lastly, you mentioned that this is an old email address. If you haven't signed in to your account for more than two years, I'm afraid your account may have already been deleted/closed due to inactivity.
As stated by Microsoft, accounts that have not been signed in or have been locked for more than 2 years will be deleted due to inactivity, and they can no longer be recovered: https://support.microsoft.com/topic/microsoft-account-activity-policy-7c0a9fa7-0982-b7c6-fd72-df852b63699f
Thank you for your understanding.
Best regards,
Darhyl