Well said.
If I follow the advice of the fellow above and download the installer via Internet Recovery, I'm not going to be given access to the installer for the sake of making my key—or will I? At want point in that workflow will I have the opportunity to boot to back into my already working OS (on the 2012 mini) in order to do what I need to do?
I have access to a most recent release (2012) 13" MacBook Air (FWIW, the 2011 MacBook Air in question above happens to be an 11"). Am I likely to run into the same problem as with the 2012 Mac mini, where the version in the App Store still hasn't been "synced"?
Unbelievably annoying. Worse still is while I'm stuck in self-help purgatory, if something were to happen the recommendation would be to visit the Genius Bar. It's not a bad service, but why should I have to rely on it if I'm perfectly capable of taking care of everything myself provided the correct tools are at hand?
Incidentally, what happened with the 2011 MacBook Air is that the stock hard drive was formatted prior to sale. The recovery partition was left intact. I used it to begin the reinstallation of the OS. It was working fine until I realized I didn't have enough time at the moment to continue to download the required assets. The computer needed to be transported 200 miles away and time was of the essence.
I cancelled the installation with the intention of revisiting it when I got to my destination. When I did so, even after freshly formatting the drive again in Disk Utility, I got an error right as the download began. No amount of tries made a difference. Same error. The only thing that will work, obviously, is a USB key or the equivalent with the installation files pre-downloaded—unless someone here has some other insight.
Thanks so much to all.