Your organization's data cannot be pasted here - what does it mean?

It also blocks the other direction sometimes, plus screenshots in some apps. If you genuinely need something moved, the work version of Word or Edge (signed in with the work account) will take the paste. Your personal copy won't.

That's a work policy, not a bug. Your company manages apps like Outlook and Teams through Intune and has blocked copying from them into personal apps. Paste into another work app and it goes through. Only IT can change it.