Can't update from El Capitan public beta

I took part in the public beta of El Capitan but now that the official version has been released I can't get it to update. If I go to Updates in the App Store I get "No Updates Available" and if I try installing from the OS's page, I get the option to download the installer instead.

I'm guessing that A) there are differences between the last public beta and the release so there should be an update, and B) since I can't find any other mention of this issue, something is messed up on my machine preventing it from seeing the update.

Should I bite the bullet and download and run the installer or is there something I can change to get my machine to update?

Go to the Purchased page and click UPDATE there.