with respect to a (my one-and-only) Adobe ID my third computer generates a different device IDs ...

Hello,
I am experiencing an authorization problem with Adobe Digital Editions (ADE) related to inconsistent device identifiers.
On my first two computers , ADE is authorized with my Adobe ID and both use the same device ID.
On my third computer, authorized with the same Adobe ID, the device ID is diffrent thus I cannot open my ADE licend files.
I have already tried the following steps on my third computer:
 - Fully deauthorized and reauthorized
 - Uninstalled ADE and removed the whole registry key HKEY_CURRENT_USER\Software\Adobe\Adept to enforce a new device ID
 - Deleted the local folder AppData\Local\Adobe\Adept
 - Even created a new Windows user profile and reinstalled ADE with admin rights
Despite all of this, the UUID on my third computer remains unchanged, preventing me from opening DRM-protected eBooks that I bought and which were are workung on the first two computers.
My questions:
 - Does anyone know someone, may be the Adobe Digital Support, to synchronize or reset the device UUIDs of my third computer, that all three computers use the same authorization container as authorized by my Adobe ID?
Or ... is there an way to completely reset the ADE device binding (UUID) so that I can reactivate all three computers under one consistent Adobe ID?

My goal is to use all three computers with the same Adobe ID to open my DRM-licensed books.

Thank you for your help and for letting me know which actions are required on my side or by your support team.

Best regards,
Matthias (teci)