because you must have your serial number from your old computer, so it can't be a problem to use the "try" version from there:
and change it while installation into a "real" CC version.
You can install and activate Creative Cloud desktop applications on two computers, regardless of operating system, for the individual associated with the Creative Cloud membership. See the product license agreements page for more information.
Refer the article: Creative Cloud Help | Install, update, or uninstall apps for install instructions.