Using classic Outlook for Windows in business environments
Hello Jordan W
Hi, I'm Karl and will be happy to help you today.
There are two separate parts to what you have described
#1 - Any messages sent to the @gmail email address will not be delivered to your Microsoft Account where you are using the @gmail address purely as a log in ID. Those messages would be delivered to your actual @gmail account that resides on the Google servers.
#2 - As for the incorrect password issue, your only option it to follow the guidance in the following Microsoft article. If you are unable to recover the account using the steps outlined, then the account is lost.
I forgot the username or password for the account I use with Office https://support.microsoft.com/en-us/office/i-forgot-the-username-or-password-for-the-account-i-use-with-office-eba0b4a2-c0ae-472c-99f6-bc63ee2425a8
There is also no point in trying to contact Microsoft Support as explicitly stated at the 2m 8sec mark in the following Microsoft video
What to do if you can't sign in to your Microsoft account https://www.youtube.com/watch?v=eAGyqGE8kJw&t=1s
If you have any questions, don't hesitate to ask.
Just so there is no misunderstanding, this is a public user-to-user support forum. We're users helping other users. We do not work for Microsoft and have no access to any user account so there is nothing we can do or check from within the forum. We have no input on Microsoft's policies, procedures, or design decisions.