There is a chance you may find the serial number in the adobe audition .ini file.
From: firstname.lastname@example.org [mailto:email@example.com]
Sent: Wednesday, March 21, 2018 11:45 AM
Subject: [CRTech] retrieve adobe audition serial number
I have a mis-behaving production computer. Does anyone know a way to retrieve the serial number for adobe audition 1.5 from the machine. I took over here 6 months ago and there are no records of anything and can’t find the disc’s or anything. I have a disc that’s installed somewhere else, but If I could pull the serial number I could at least reinstall. We really don’t want to have to go to the cloud version with monthly payments.