Using at Template creates a File in a "Template" Project

We recently moved all of our templates from the brand to a dedicated project just for templates. We’ve been making updates, but noticed that when someone “uses” a template, rather than creating and saving a new file to their “My Stuff” it’s saving that newly created file in the folder with all the Templates. We don’t want ALL files created from our templates to save to that folder, which will be available to everyone in our org, we want them to save to My Stuff, like they used to. 

Is there any way to modify where files are created when using custom templates?