Hello, JB424242.
Welcome to Microsoft Community.
Managing multiple Microsoft Office Home & Business licenses under a single Microsoft account can be challenging, especially when activation issues arise. Could you please confirm that all the licenses you purchased came from the Microsoft official store?
In the following community thread, Microsoft allows up to 25 Office 2024 licenses on the same account and emphasizes the details of tracking each product key and its corresponding installation, please refer to Rohn007's reply in this thread and the FAQ from Microsoft.
If your product key is already bound to the same Microsoft account, you should see the following list pop up when you initially activate it, asking you to select a license, as shown below:
In your case, if all your devices are Mac devices, please follow the steps below to clean up the Mac license and delete the packages in the current Mac device. For more tutorials, please refer to:
How to remove Office license files on a Mac - Microsoft Support
Uninstall Office for Mac - Microsoft Support
By carefully managing your product keys and associating them correctly with your Microsoft account, you can activate multiple Office Home & Business 2024 licenses across different computers without conflicts. Feel free to let me know if any updates, thanks!
Best Regards,
Hannah.Z- MSFT |Microsoft Community Support Specialist