While you might be able to add this tag using a TMS, the real question is, "Can you add it quickly enough?"
I assume that you want to add this tag for SEO benefit. If so, adding it with a tag manager, particularly an async implementation of Adobe Launch, is probably not going to get the tag into the markup in time for it to matter. Maybe I'm wrong about that...
If you want to be certain that the tag is there on time, add it to the base document (either in the HTML source or in your server-side code that generates the HTML source).