Just a couple of lessons learned about the Studio API.
1. Your live API is at yourinstance.instructuremedia.com/api/public/docs/#/ - at least in our case, it's unique to us.
2. The value for the Authorize button on that page can be found by logging in to Studio, then grabbing the Authorization header in your browser - see screenshot.


3. The programmatic way to get authorized is via standard OAuth -- key and secret are set up under your Studio settings. For whatever reason, localhost doesn't work for the redirect under Settings. You'll have to redirect to some other site you own that will allow you to grab the code.