The five-letter route
Trace MANGO through these cells: 1 at row 6, column 3; 2 at row 5, column 3; 3 at row 5, column 2; 4 at row 4, column 2; 5 at row 3, column 2. Reading them in order gives M → A → N → G → O.
The motion is up, left, up, and up: three upward steps and one step left. It turns twice across three straight segments, spanning four rows and two columns without visiting an outer edge or corner. The start has three open orthogonal neighbors, while the endpoint has two. Assigning this word covers five cells and leaves 30 open cells for the other four paths.