How to setup contiunous integration Ember-cli app to Azure Virtual Machine

I am developing Ember JS app using Ember-cli. This is single page web app. The back-end for app is .net application which holds database and sets up Restful API interface. The thing is, that we have to use Azure VM, not Azure Web App (Websites). I managed to compile and run Kudu in IIS but it directed me to the point where I had to make IIS serve 2 applications on the same port:

1. C# .net API
2. Ember Js app

The resolution for this, is to set up IIS to serve .net written Restful API under, say http://domain/api URI and JavaScript app at http://domain/ URI.

But I am not administrator, just a frontend developer, and I don't know how to do it. Also I don't know how to change Kudu's deployment folder, and how to connect it to Bitbucket.

Please, could you educate me on this, I need firing deployment and transpiling from ES6 to ES5 of EmberJS app by making pushes to Bitbucket.