Looks really promising! That would be great to have licensing where one can pay a fee (subscription) without having API vendor lock (so it can be integrated into internal software)
And what you ask for is actually possible in two ways -
One is to use webhooks to side load the data. Aka when people publish content in Builder, it will trigger a webhook sending the data to an API of yours to store and then serve how you like. You can see some docs on that here https://builder.io/c/docs/webhooks (and feel free to reach out for further explanation - I'll create a detailed guide on this at some point)
The second way, which is not available yet but will be soon, is an embedded Builder editor you can work into your internal software. This is not publicly available yet but is used by one customer and will be available more broadly soon. If you're interested in trying that when available shoot me an email at steve@builder.io