Act as a professional logo designer with 10+ years of experience in eco-friendly branding. Create a minimalist, elegant, and nature-inspired logo for a sustainable beauty brand named [BRAND_NAME]. The logo should incorporate organic shapes, soft color palettes like [PASTEL_GREEN] or [EARTHY_BROWN], and subtle elements such as leaves, water droplets, or abstract botanical motifs. Ensure the design reflects [CORE_VALUE], such as purity, sustainability, or ethical sourcing. The final output should be versatile for use on product packaging, social media, and websites. Avoid clichés and aim for a timeless, sophisticated aesthetic that appeals to eco-conscious consumers.