What changes at every step
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Step 1RAID -> ROID
Tile 2 changes A to O; the move is closer by letter shape. ROID has 5 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from RAID include SAID, PAID, RAIN, RAIL.
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Step 2ROID -> ROOD
Tile 3 changes I to O; the move is closer by letter shape. ROOD has 11 legal neighbors, 3 shortest continuations, and 3 moves remaining. Other legal exits from ROID include ROAD, ROIL, VOID.
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Step 3ROOD -> GOOD
Tile 1 changes R to G; the move is sideways by letter shape. GOOD has 10 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from ROOD include ROOF, HOOD, FOOD, ROOM.
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Step 4GOOD -> GOOP
Tile 4 changes D to P; the move is closer by letter shape. GOOP has 9 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from GOOD include HOOD, GOON, GOOF, FOOD.
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Step 5GOOP -> POOP
Tile 1 changes G to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from GOOP include LOOP, COOP, HOOP, BOOP.