Create a sleek and modern logo for a designer app that features a stylized pencil intertwined with a digital brush, symbolizing the fusion of traditional artistry and digital design. Use a vibrant color palette that includes shades of teal and coral, and incorporate abstract geometric shapes in the background to convey creativity and innovation. The overall design should be minimalistic yet eye-catching, embodying the essence of a cutting-edge design tool.

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Create a sleek and modern logo for a designer app that features a stylized pencil intertwined with a digital brush, symbolizing the fusion of traditional artistry and digital design. Use a vibrant color palette that includes shades of teal and coral, and incorporate abstract geometric shapes in the background to convey creativity and innovation. The overall design should be minimalistic yet eye-catching, embodying the essence of a cutting-edge design tool.