Instructions for removing door inner panel from 2004 BMW 330?

,

With your help, the door panel came off without incident.

Now I am puzzling over the window regulator. The window tends to bind a bit moving both up and down. If I grab the rear of the window when it is half closed, I can pull it up and down a couple of inches.

Inside at the rear of the window, it looks like there is a slug on a cable that is supposed to be attached to a piece of plastic that moves the window up and down with the cable. The plastic appears to be broken and I found a piece of plastic in the bottom of the door.

The broken plastic does not look repairable, and the image of the window regulator in the on-line parts books is so poor that I am not certain that if I drop the $120 on a new regulator, I will get the part that is broken.

Is this the way that regulators fail?
How do I go about getting the regulator out?

Thank you for your help!