Question: Consider the relaxed 8 - puzzle problem where any tile can be swapped with the blank space, not just tiles directly adjacent to the blank

Consider the relaxed 8-puzzle problem where any tile can be swapped with the blank space, not just tiles directly adjacent to the blank space. The distance to the goal state in this relaxed problem is an admissible heuristic to the original 8-puzzle problem.
Explain why this heuristic is at least as good as the misplaced tiles heuristic

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