Unable to activate Adobe Photoshop CS5 Extended on my new PC

Hello,

as mentioned in the title I'm not able to activate my Photoshop CS5 Extended on my new Windows 10 Computer.

As my previous computer died I was not able to deactivate the installation in the application. In the past I could do so on my account settings in the browser but now it just tells me there are connected computers at all. 

Got in contact with the Adobe Support and they said that they added a few more activations. Unfortunately I'm still not able to activate the program.

When photoshop starts it still tells me "Activation limit reached for Adobe Photoshop CS5 Extended" and I'm running out of time =(.

Already tried the original installer from the CD and the one I can download from my account.

As they no longer support the application they asked me to write here.

Still have one working install on my laptop that I would deactivate to get this one activated....

but somehow I have the feeling that this won't solve the problem. Even worse I nay end up with no running photoshop instead.

Some help would be appreciated.