Design a modern, minimalist logo for a puzzle game that incorporates a stylized letter 'J' shape, formed by intertwining gears or cogwheels, in a bold, metallic color scheme with gradients of silver and gray, resulting in a dynamic and engaging visual identity that conveys complexity and intellectual curiosity.

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Design a modern, minimalist logo for a puzzle game that incorporates a stylized letter 'J' shape, formed by intertwining gears or cogwheels, in a bold, metallic color scheme with gradients of silver and gray, resulting in a dynamic and engaging visual identity that conveys complexity and intellectual curiosity.