How to map API endpoints using https on mobile

I have an assignment to do which is testing a mobile app that uses secure transport layer to deliver any data to the endpoint. But I need to map the endpoints and already used a few tools like Wireshark and others and they all have the same requirements which is to allow in the app a vulnerable cert to see the endpoints. I can't do that because I don't have a development environment of the app only production. Is there any way I can map those endpoints ? Like an example : * Mobile app fetched a users name with a GET request . * Mobile app uses a specific endpoint via a GET to fetch the data. * Endpoint is https protected. I want to map that endpoint with the headers but only trough the mobile app. There is no web application just the mobile app.
http://dlvr.it/S17FWw