First word: a compact turn along two edges
Trace TRY from row 4, column 1. The letters run T to R to Y, and the route finishes at row 5, column 2. It uses three cells, matching the first answer length, and all three cells sit on an outside edge of the board.
Follow these cells in order: 1 at row 4, column 1; 2 at row 5, column 1; 3 at row 5, column 2. Move down once and then right once. The direction changes at the second letter, so the trace has one turn and two straight segments rather than continuing along a single line.
This path spans two rows and two columns and visits one corner. Its starting cell has two open orthogonal neighbors, while its ending cell has one. Once the route is assigned, three of the 21 open cells are used and 18 remain for the other three words.