Using New Outlook on Windows for personal email, calendar, and contact management
Hi there! Just to add up on the answer provided by the AI. If possible, try adding one of the @twcny.rr.com accounts to another IMAP mail client or another mail app using the same settings (such as a mail app on your phone).
If it also fails there while Webmail continues to work, that would strongly point to an IMAP authentication/server-side issue with the email provider, rather than an Outlook problem.
Because both accounts stopped receiving mail on the same date, I'd also suggest to contact your email provider and ask them to verify that IMAP access and authentication are working for your @twcny.rr.com accounts. That simultaneous failure is an important clue that something has changed on the server side.