Create a stylized, geometric logo for a puzzle game that incorporates a 3D beaker with a puzzle piece suspended from a string, surrounded by interconnected gears and clockwork mechanisms. The puzzle piece should be a smaller, inverted version of the beaker, and the gears and mechanisms should be in a metallic blue and copper color scheme, with wooden accents to suggest a vintage, steampunk feel.

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Create a stylized, geometric logo for a puzzle game that incorporates a 3D beaker with a puzzle piece suspended from a string, surrounded by interconnected gears and clockwork mechanisms. The puzzle piece should be a smaller, inverted version of the beaker, and the gears and mechanisms should be in a metallic blue and copper color scheme, with wooden accents to suggest a vintage, steampunk feel.