You don't transfer anything since it won't work due to the specifics of the activation system. You really need to install it properly. The rest sounds fishy. no serial number? Then how did you get it installed in the first place?
Apple doesn't ship systems with Photoshop pre-installed.
And you either have a serial number, or an Adobe ID and a subscription -- and in both cases you just download and install the app, then enter your information to activate it.