Alphabet Blocks

We have 27 wooden cubes. The first is marked A on every face, the second B, and so on through the alphabet to Z. The 27th cube is blank. Is it possible to assemble these cubes into a 3×3×3 cube with the blank cube at the center, arranging them so that cube A adjoins cube B, cube B adjoins cube C, and so on, forming a connected orthogonal path through the alphabet?

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