What changes at every step
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Step 1PERT -> PORT
Tile 2 changes E to O; the move is closer by letter shape. PORT has 12 legal neighbors, 2 shortest continuations, and 4 moves remaining. Other legal exits from PERT include PEAT, PERP, PART, PEST.
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Step 2PORT -> POUT
Tile 3 changes R to U; the move is sideways by letter shape. POUT has 9 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from PORT include PORE, POST, PORN, SORT.
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Step 3POUT -> POUR
Tile 4 changes T to R; the move is sideways by letter shape. POUR has 9 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from POUT include BOUT, LOUT, POST, POET.
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Step 4POUR -> POOR
Tile 3 changes U to O; the move is closer by letter shape. POOR has 7 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from POUR include YOUR, FOUR, TOUR, HOUR.
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Step 5POOR -> POOP
Tile 4 changes R to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from POOR include POOL, POOF, DOOR, MOOR.