In the 2D directed last passage percolation, each vertex is assigned an i.i.d. exponential weight, and the geodesic between a pair of vertices refers to the up-right path connecting them, with the maximum total weight along the path. It is a natural question to ask what the local environment around a vertex in the geodesic looks like; i.e., weights of vertices and shape of the geodesic in an O(1)...