Is there a way to detect what ‘page number’ text in a google docs document is on?

I’m trying to find a way to detect what ‘page number’ text in a google docs document is on. I want to know this so I can determine page breaks accordingly if text would flow over onto the next page in a sequence of text I may have.

I have asked the AI and it claims this is impossible to do, but I doubt that. It claims the only way to do this is through heuristic methods like counting how many characters there is and so forth which will not work for me because content may have various font sizes or indentions and newlines etc… I need to reliably know for sure if something is on the next page or not.

So I looked into some different ways to do this.

1.) Maybe google app script? – Apparently there is no method for this?

2.) Google API’s? – Apparently there is no API to detect this for text in the document.

3.) Using Chrome Extension and looking at the DOM. I studied the DOM structure of Google Docs and I could not for the life of me see how it’s rendering the page. The AI claims it might be using iframes but this is not clear as I could not see where it’s actually rendering the content. This would have been nice since I could just see if the text appears in some DOM element that represents the next page, but alas I can not seem to figure this out either.

So this brings me to you the community to see if you have any ideas I have not thought of that might be used to answer this seemingly simple question.