https://www.lansweeper.com/knowledgebase/viewing-and-scanning-software-license-keys/
For products by software publisher Adobe specifically, it pulls additional license keys from .swidtag files on the Windows computer. Your Adobe software's .swidtag files should be stored in one of the file locations listed below. The first two are used by both Windows XP and Windows Server 2003, while the third and fourth are used by more recent Windows operating systems. Lansweeper automatically scans Adobe .swidtag files for stored license keys.
%ALLUSERSPROFILE%\Application Data\Adobe\ISO‐19770
%ALLUSERSPROFILE%\Application Data\regid.1986-12.com.adobe
%PROGRAMDATA%\Adobe\ISO‐19770
%PROGRAMDATA%\regid.1986-12.com.adobe
Unfortunately, not all Adobe products seem to use the swidtag files. Which is why I assume OP's license key isn't found.