Would there be any harm in simply removing all the bolts that hold the regulator to the door, and then lifting the regulator and window out as a unit? My suspicion is that the regulator is actually OK, and the problem is just that the clips or clips holding the regulator to the window are broken, and in the process of breaking, it caused something to get jammed up in there.

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2003 X5 4.4i
1992 Porsche 968
2007 328i
2014 Subaru Forester XT