Huh. They don't tell you that when you're shopping for a house!
On the bright side, they'll be taking the whole tree down today (including the intact half), and we'll get a chance to plant a replacement in a couple of months, about the time out baby is due. Having a tree planted in conjunction with our new kid seems like a neat idea.
Of course my parents did something similar with my brother, and it got kind of forgotten, but they also planted it way back in a hidden corner of our yard. This will be the main thing in the front of the house. Hope we don't pick an ugly tree :)