Keeping templates private yet usable by others

I have created a few templates for my teams. I would like to keep the templates in my admin workspace (which is private) but allow others in the team to still be able to use the templates. There doesn’t seem to be a way to make board templates public unless you put them on a public workspace, is this correct? If so, how do you stop people from accidentally (or purposefully) editing them, when they are not in a private space?