What changes at every step
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Step 1DIED -> PIED
Tile 1 changes D to P; the move is closer by letter shape. PIED has 8 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from DIED include TIED, DIES, DEED, LIED.
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Step 2PIED -> PLED
Tile 2 changes I to L; the move is sideways by letter shape. PLED has 7 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from PIED include PEED, TIED, PIER, LIED.
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Step 3PLED -> PLOD
Tile 3 changes E to O; the move is closer by letter shape. PLOD has 7 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from PLED include PLEA, FLED, SLED, BLED.
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Step 4PLOD -> PLOP
Tile 4 changes D to P; the move is closer by letter shape. PLOP has 11 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from PLOD include PLOT, PROD, PLOW, PLOY.
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Step 5PLOP -> POOP
Tile 2 changes L to O; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from PLOP include PROP, PLOT, FLOP, PLOW.