Rungs
Change one letter. Make a new word.
Change one letter. Make a new word.
Turn the top word into the bottom word, one letter at a time. Par is the shortest way through, and you have two rungs to spare.
Read the bottom word before you touch the top one, and count the letters that already agree: those are the ones you are keeping, and every other position has to change at least once. Work from whichever end has the fewer ways out. A word like STORK has two or three neighbours and CHASE has a dozen, so starting at the sparse end means fewer branches to be wrong about, and the middle is where the two halves meet. Trying a word costs nothing if it is not in the list, so guess freely: the only thing a rung buys is a word that was accepted, and the only way to waste one is to accept a word that leads nowhere. When a branch dries up, undo rather than spending your spare rungs climbing back by hand.