Topics in Guard-Door Theory

You come across one guard and no doors. The guard will chase you around each map and will defeat you upon entering your square.

Each turn, you must move exactly one square orthogonally, after which the guard moves up to two squares. The guard will move by finding the path to you that will take it the least number of turns (including walls and green squares). It then takes the most optimal (up to) two movements. In the case of a tie, the guard will prioritize a path in which only one movement is required on the final turn to reach you. If there is still a tie, the guard will prioritize moving up, then right, then down, then left (moving in the first tied direction in this sequence).

Because there are no doors, you cannot escape. How long can you survive against the guard?