Update
This is a view of the capitol building from the northwest side. The street in front is Monroe street, a one way street that the suspect is supposed to have fled down (east). The entrance that the perp ran up can be seen in the photo just above the red van on the left side of the pic; there is a short flight of stairs to the doors there just underneath those arches. Right by those bushes at the extreme left of the pic is the exit of the driveway that curves by that entrance. It would be very easy for someone to drive up that driveway (enter on 2nd street), park in front there, and escape out that exit.
I will try to find a better pic.