Yes, there's nothing to actually parse in there to show you the URL. The code needs to be executed and that could be done in a browser driven by perl as in the above answer.

But following up on the inspection tools, I would try inspect element on the link when you log in manually and see what its path is - that path might be the same each time. Can the third party give the file the same name each time, or a predictable iteration?

Just guessing though.