Hi @Alfa Bondi ,
Is this profile connected to a Microsoft account? If so, you can simply sign out of it.
Another straightforward way could be directly renaming or deleting its local folder. Under that profile, you can find your profile folder at edge://version --> Profile path. For example, the path is C:\Users\Administrator\AppData\Local\Microsoft\Edge\User Data\Profile 1. Then, make sure you have closed Microsoft Edge, and you can either rename or delete the Profile 1 folder.
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Best Regards,
Shijie Li