Design a sleek and modern logo for a puzzle game, incorporating interlocking puzzle pieces in vibrant colors like blue, orange, and green. The pieces should be arranged in a dynamic, abstract shape that suggests movement and challenge, while maintaining a clean and minimalistic aesthetic. Consider adding subtle shadows or gradients to give depth to the puzzle pieces, and use a rounded font in the background to enhance the playful nature of the game, ensuring the overall design is versatile for both app icons and promotional materials.

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Design a sleek and modern logo for a puzzle game, incorporating interlocking puzzle pieces in vibrant colors like blue, orange, and green. The pieces should be arranged in a dynamic, abstract shape that suggests movement and challenge, while maintaining a clean and minimalistic aesthetic. Consider adding subtle shadows or gradients to give depth to the puzzle pieces, and use a rounded font in the background to enhance the playful nature of the game, ensuring the overall design is versatile for both app icons and promotional materials.