Hi,
What kind of account did you sign in?
I suggest you check if you can sign in the OneNote in web.
I also suggest you try to clear the keychain, please refer to this thread and try these steps: https://answers.microsoft.com/en-us/msoffice/forum/all/cannot-sign-in-onenote-on-mac/55ac7e82-ef46-428f-96e0-228bcc012f5f
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