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Steps for a token on a square to hit the trapdoor

Four corners of a square are labeled 1,2,3,41, 2, 3, 4 in order, with edges 1 ⁣ ⁣21\!-\!2, 2 ⁣ ⁣32\!-\!3, 3 ⁣ ⁣43\!-\!4, 4 ⁣ ⁣14\!-\!1. A token steps to one of the two neighboring corners with equal probability each move. Corner 44 is a trapdoor: the token stops when it lands there. It starts at corner 11, which is adjacent to the trapdoor.

On average, how many steps until the token falls through corner 44?

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