Looks like things are sorted out. If you don't get the update automatically, you may need to restart the Steam client to jumpstart things.
What he said. If you're still not seeing the update after restarting the Steam client (make sure right-click on Properties / Updates / Automatic updates is set to Always keep this game up to date), you can use the 'Verify integrity of game cache...' button on Properties / Local Files in the Steam client.
The update will think for a few minutes about what files are changed before downloading the files for the update.
Kris