A square courtyard is defined by the coordinates $(-4,-4)$, $(4,-4)$, $(4,4)$, and $(-4,4)$. A drone starts at the point $(1,2)$ and flies $3$ meters towards the point $(3,3)$. It then changes direction and flies $2$ meters towards the point $(-1,0)$. A sensor measures the shortest distance from the drone to each of the four boundary lines of the courtyard. What is the average of these four distances?