If you start the work but don't have the time or parts to finish, be careful when you put the car back together. If you remove the button, the only way to open the glass again is the button on your key. Of course, after 12 years and 1.21 gazillion miles, your keys or GM5 module may not work all the time leaving you no way to pop the glass again. I left off the inner plastic cover and made sure I could access the 3 pin connector with glass closed before slamming it shut. I can pop the glass by shorting pins 1 and 3 with a bent paper clip if I need to complete the repair on a day when my key doesn't want to work.
I'll save the key battery and/or GM5 module repairs for another day.