What changes at every step
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Step 1GAIT -> GRIT
Tile 2 changes A to R; the move is sideways by letter shape. GRIT has 6 legal neighbors, 2 shortest continuations, and 5 moves remaining. Other legal exits from GAIT include GAIN, WAIT, BAIT, GANT.
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Step 2GRIT -> GRIP
Tile 4 changes T to P; the move is closer by letter shape. GRIP has 6 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from GRIT include GRIM, GRID, GRIN, WRIT.
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Step 3GRIP -> DRIP
Tile 1 changes G to D; the move is sideways by letter shape. DRIP has 3 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from GRIP include TRIP, GRIM, GRID, GRIN.
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Step 4DRIP -> DROP
Tile 3 changes I to O; the move is closer by letter shape. DROP has 3 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from DRIP include TRIP.
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Step 5DROP -> PROP
Tile 1 changes D to P; the move is closer by letter shape. PROP has 11 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from DROP include CROP.
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Step 6PROP -> POOP
Tile 2 changes R to O; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from PROP include PLOP, CROP, PREP, PROS.