Give the client editable file

In addition, if you are talking about transferring the licensing for an image that you purchased, you need to read the licensing terms for the particular type of license you purchased. Here they are for Adobe Stock:

https://stock.adobe.com/license-terms

For other stock sites, find and read their terms.

Jane

You can give a client an editable file if you wish and give them the rights to use your originally created image under whatever licence you see fit.

What does not transfer, or change, is the requirement for your client to have their own licence for Photoshop/Illustrator in order that they can edit that file. You cannot transfer the application(s).

Dave