Hi,
If you are still encountering the error message "Another account from your organisation is already signed in on this computer" while attempting to Activate Office365 with your Microsoft 365 business account, I would like to share some steps that resolved the issue for me:
Firstly, open any of the Office365 apps such as Excel, Word, or PowerPoint.
Click on the "Action" menu (represented by the appname) and select "About Microsoft" (appname). If it displays "Unlicensed," you can skip the next step. However, if there is a license key currently active, please proceed to the next step.
Download the Office License Key Removal tool, but refrain from running it until later.
Open your default web browser and navigate to either the Microsoft 365 Dashboard or the Azure Portal (if accessible for your account).
Sign out from all accounts that are currently signed in. Afterward, close the browser completely and reopen it.
Return to the Microsoft 365 Dashboard/Azure Portal and sign in using the corresponding account.
Close all Microsoft applications and optionally close the browser as well.
Now, you can run the Office License Key Removal tool.
Finally, open any Office app you prefer, such as Word or Excel, and sign in using the corresponding account.