Design a sleek and modern logo for a designer app that features an abstract representation of a stylized pencil and digital tablet intertwined, showcasing creativity and innovation. Use a dynamic color palette of vibrant blue and elegant gold, incorporating smooth curves and sharp angles to give a contemporary feel. The logo should have a 3D effect to imply depth and versatility, positioned on a subtle gradient background that enhances its visual appeal.

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Design a sleek and modern logo for a designer app that features an abstract representation of a stylized pencil and digital tablet intertwined, showcasing creativity and innovation. Use a dynamic color palette of vibrant blue and elegant gold, incorporating smooth curves and sharp angles to give a contemporary feel. The logo should have a 3D effect to imply depth and versatility, positioned on a subtle gradient background that enhances its visual appeal.