Installing Photoshop to a new computer, but the only option is buying it again?

I want to install Photoshop on a new computer (I no longer have access to the old one). I have an active Photoshop subscription, and have downloaded Creative Cloud Desktop, but it still says that I have to purchase a subscription to Photoshop to install it. It also says that the trial has expired, and therefore only leaves me with the option of buying (køb nu). Does anybody know what I need to do differently? Thanks in advance!