Need to write some code on success of this API.
There's no callback, but more important: the completion of this GET doesn't mean the current session cookie is associated when the response is complete. It's merely queued for association, as with a form post. (The association could happen as little as 1ms later, but regardless, the point is it isn't synchronous, and it certainly may take a few seconds under load.)
The GET can only fail of the hash key is wrong (which is de facto impossible for server code you control) or if the Munchkin server is down (or inaccessible due to Tracking Protection, but you'd know you didn't have the globalobject in this case). What exactly are you trying to do when the association (or attempt to associate) is complete? What's the biz logic here?
You haven't explained your use case. The "success" of the response is just the HTTP 200. It doesn't mean the association is complete. Please be specific about what you're trying to accomplish.