What changes at every step
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Step 1CARD -> CORD
Tile 2 changes A to O; the move is closer by letter shape. CORD has 10 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from CARD include CARP, CARE, CART, CARS.
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Step 2CORD -> CORK
Tile 4 changes D to K; the move is sideways by letter shape. CORK has 10 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from CORD include WORD, CORE, FORD, COLD.
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Step 3CORK -> COOK
Tile 3 changes R to O; the move is closer by letter shape. COOK has 15 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from CORK include COCK, CONK, WORK, CORE.
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Step 4COOK -> COOP
Tile 4 changes K to P; the move is closer by letter shape. COOP has 14 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from COOK include BOOK, LOOK, COOL, HOOK.
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Step 5COOP -> POOP
Tile 1 changes C to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from COOP include LOOP, HOOP, BOOP, GOOP.