Design a vibrant and engaging logo for a puzzle game that incorporates a puzzle piece or a mosaic element, with clean lines, bright colors, and a sense of movement or energy, set against a subtle background that hints at the game's intellectual and cognitive challenge.

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Design a vibrant and engaging logo for a puzzle game that incorporates a puzzle piece or a mosaic element, with clean lines, bright colors, and a sense of movement or energy, set against a subtle background that hints at the game's intellectual and cognitive challenge.