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Automate Fixed Width Page, length > some minimum length, but only as long as needed

Is there a way to output a document containing a SINGLE page (that contains the entire text which would normally break through let's say 10 A4 pages). I want the document width to be A4's width and the document height to be minimum height so that the document has a single page.

The motivation is: I don't really need pages (the document is not supposed to be printed) and my document contains lots of framed boxes that don't break across pages; so, there are large pieces of blank text when the next box doesn't fit the current page.

EDIT: I know I can use \paperheight and \textheight but I don't wanna have to guess the value every time

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