In a plane, given two points $F_1$ and $F_2$, a hyperbola is defined as the set of all points $P$ where the positive difference between the distance from $P$ to $F_1$ and the distance from $P$ to $F_2$ is constant. Suppose $F_1 = (-2,0)$, $F_2 = (2,0)$, the aforementioned constant positive difference is 3, and distances are found with the taxicab metric. Draw the corresponding "hyperbola".

The "hyperbola" is shown in blue in the graph below: