Another month goes by. These are added to the end of this post.
They're working on the fifth floor now, and it's supposed to be a twelve story building, so my guess would be that the outer shell will be done in October.
Oh, and today the ramifications of this sprouting concrete became clearer: A friend who lives across the street from it told me that it's already beginning to block the sunlight in his apartment; as I was walking home, I noticed that it's now poking out from behind the surrounding buildings, which gave me an idea of how the skyline will change over the next two or three months...
5 hours ago