GFG Chess board doubt

Link : https://www.geeksforgeeks.org/probability-knight-remain-chessboard/
In this q. , the author says that the prob of the knight remaining inside the board after k steps ( assuming it starts at position (x,y)) is same as the prob of reaching the position (x,y) in k steps . How can this be proved ? Is there any other approach to solve this problem?

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