"Design an ultra-minimalist, black-and-white logo for a nutrition and dietetics clinic in the shape of a stylized pomegranate. The initials A, D, and S should be integrated into the pomegranate design, either as part of the fruit's structure or as subtle elements within it. The pomegranate should be simplified and abstract, using clean, smooth lines to maintain a modern and elegant look. The monochrome color scheme should highlight the simplicity and sophistication of the logo, with a focus on health and natural wellness."