macOS randomly says Exchange password is needed but actually isn't

I know there have been bugs that cause macOS (or the Mail app) to ask for the Exchange password repeatedly, but this is different from those. The issue I'm having is that I receive a notification for the Exchange password and can click the notification's Continue button to make it display the Internet Accounts window but it never actually prompts me to enter a password. When I view the entry for the Exchange account in Keychain Access, what it has is correct. I have deleted the account entirely and re-added it to no avail, and I've also replaced the Keychain entry with an app-specific password to make sure that MFA wasn't interfering somehow. I still receive the notifications. Nothing is actually broken that I can find (I still receive mail and calendar events without any issues), so I'm fairly certain this is just an annoyance/cosmetic bug. Has anyone got any ideas what could be the cause for this and how to resolve it? I'm on a MacBook Pro (14-inch, 2021) with an Apple M1 Pro running macOS 12.1 (21C52).