Can't Load Adobe Photoshop Elements Unless I Get a New Email Address

I am having an issue with installing Adobe Elements (Photoshop).  The issue, according to Adobe, is that I need to get a second email address!  Let me explain. I do video editing so if one computer goes down, I have my backup.  I have Adobe Creative Cloud subscription with all the apps on both computers which is permitted under Adobe.  I also have Adobe Photoshop Elements for very small and easy quick fixes.  I also have Elements my laptop.  This year I decided to update my Elements program so I bought the 2025 version (Photoshop & Premier).  I installed the Program on my backup computer and of course logged into my Adobe account wich identifies me by my email address.  I got the message that said I exceeded the number of computer I have installed this program on and I need to delete one of them.  I was surprised because I do not have another 2025 (I paid for the full program, not just an update).  When I called Adobe they said they now look at the email address associated with my logon so it looked like I was trying to install Adobe Photoshop on more than 2 computers.  I explained that I was trying to install the 2025 Elements, not my full Creative Cloud Photoshop.  I was told it didn’t matter because Adobe recognized my email address, not the serial number or other program specific number.  If I wanted to install Photoshop Elements on my backup computer, or any other computer I needed to do so under a different email address.  This didn’t make sense so I talked to the person's supervisor and got the same answer.  Seems to me that Adobe needs to come up with a better solution rather than forcing the customers to come up with another email address.  If I had known that, I would not have bought the 2025 version and stuck with my 2023 version.   Is anyone having the same issue?