Design a sleek and modern logo for a puzzle game, incorporating geometric shapes that reflect various puzzle pieces interlocking creatively. Use a vibrant color palette featuring shades of blue, green, and orange to evoke a sense of fun and challenge. The logo should have a playful yet stylish aesthetic, with a minimalist approach to maintain clarity. Integrate subtle shadows or gradients to add depth, and ensure the shapes have rounded edges for a friendly and inviting look. Overall, the design should convey the essence of puzzling and problem-solving while remaining visually appealing and easy to recognize.

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Design a sleek and modern logo for a puzzle game, incorporating geometric shapes that reflect various puzzle pieces interlocking creatively. Use a vibrant color palette featuring shades of blue, green, and orange to evoke a sense of fun and challenge. The logo should have a playful yet stylish aesthetic, with a minimalist approach to maintain clarity. Integrate subtle shadows or gradients to add depth, and ensure the shapes have rounded edges for a friendly and inviting look. Overall, the design should convey the essence of puzzling and problem-solving while remaining visually appealing and easy to recognize.