'Partially re-render PDF in React

I'm trying to achieve the following:

Overlay some text on top of a PDF
Edit that text using an input field (outside the PDF)
Update the PDF in real-time, without re-loading the entire PDF, i.e. a partial re-render

I've built a demo showing what I'm trying to achieve - this reloads the entire PDF when you type in the input.

My question is: is this feasible? If so, how can I achieve it?

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