I would like to have a web app to be the only thing you can use with an iPad. I managed to make the website (a simple HTML file with lots of integrated JS) open full screen when added to the home screen as a starter, so there are no browser controls, just the app and a black panel displaying battery status and clock. On the other hand I can use the Apple Configurator 2 to lock the iPad to a single app like Safari but in Safari I have all the browser controls.
What I would like to achieve is locking the iPad to use the web app full screen. However, I cannot do this, because in the Apple Configurator I can only choose from the apps installed on the MacBook it is executed on. Since the web app is not a proper app but just a starter on the iPad's home screen, it is not listed amongst the MacBook's apps.
Is there a possibility to have the iPad locked into the web app in full screen, without browser controls?