What changes at every step
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Step 1YARD -> WARD
Tile 1 changes Y to W; the move is sideways by letter shape. WARD has 14 legal neighbors, 1 shortest continuation, and 5 moves remaining. Other legal exits from YARD include CARD, YARN, BARD, HARD.
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Step 2WARD -> WORD
Tile 2 changes A to O; the move is closer by letter shape. WORD has 11 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from WARD include CARD, WARE, WARN, WARP.
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Step 3WORD -> WOOD
Tile 3 changes R to O; the move is closer by letter shape. WOOD has 10 legal neighbors, 4 shortest continuations, and 3 moves remaining. Other legal exits from WORD include WORK, FORD, CORD, WORN.
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Step 4WOOD -> WOOL
Tile 4 changes D to L; the move is sideways by letter shape. WOOL has 7 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from WOOD include GOOD, HOOD, WOOF, FOOD.
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Step 5WOOL -> POOL
Tile 1 changes W to P; the move is closer by letter shape. POOL has 8 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from WOOL include TOOL, COOL, FOOL, WOOF.
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Step 6POOL -> POOP
Tile 4 changes L to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from POOL include POOR, POOF, TOOL, COOL.