I seem to be unable to install a build agent on our TeamCity 5.1.2 build server that is compatible with a VS2010 (sln) build configuration.
Under \"Build Runners\",
I think I figured it out:
Install the Windows SDK from Microsoft. Right now, the latest version is 7.1.
Note that since I just suddenly noticed that it worked, I don't know for certain that this is what did it - it might me completely irrelevant, but this is the only thing in my configuration I changed that I think could be relevant.