Door Opening Glitch - Redcliffe Castle

The Issue:

I am in the questline called "In Hushed Whispers."  There is a door that I believe should open which doesn't.  The door is in future redcliffe castle, in the room with the first rift battle after rescuing Liliana from the torture chamber.  It is supposed to be opened by turning a gear.  When I right click the gear, my character goes through the animation of turning, but nothing happens.  This is my first playthrough of the game.  I checked several online walkthoughs to determine that I wasn't missing anything before I decided that it was a glitch. 

Support History:

I have had two chat conversations with EA support so far.  The first one (case number is 25521715) recommended that I uninstall the game and origin, run a cleaner, and reinstall origin and the game.  I did that and the problem still persists.

The second chat (case number is 25522721) recommended that I post my issue here.  And that I try reloading my game from an earlier save and playing through to the same point.  I did that at least twice before the reinstall, and am about to make my first attempt post-reinstall.  I'll let you know how that goes.

Specs:

I am a PC user.  My DxDiag can be found at the following link:  http://hastebin.com/adukosapos.tex