Hi,
First thing, the WLC license does not have any dependency considering the AP model. To support the AP, the Controller needs a permanent/evaluation license. In case if you have the WLC PAK (Product Authorisation Key) use the provided link to generate the license: www.cisco.com/go/license/
If you don't have a PAK, Call TAC Frontline and open a case with Licensing Team for providing the required (eval/permanent) license.
Hope this helps!
Regards,
Divya