Act as a high-end medical/lifestyle UI Designer. Build a highly polished landing page in a single HTML file using Tailwind CSS via CDN for [Insert Business, e.g., A Premium GLP-1 Companion Platform].
The visual system must feel clinical, premium, and sophisticated—resembling a luxury longevity brand. Use a pure white background, a refined dark slate typography hierarchy, generous but balanced padding, and subtle shadows. Introduce an ultra-premium, soft pastel teal accent color (e.g., slate-100 panels with emerald-600 text highlights).
Code these UI elements:
1. A clean, center-aligned hero container with a stark typographic scale, framed within a wide, beautiful border layout.
2. A premium 2-column features block: Left side holds a large, structured panel showcasing a mobile app UI placeholder (rounded-3xl, bg-slate-50 with inner shadow). Right side holds structured text details using micro-spacing and subtle icon placeholders.
3. A distinct 'Medical Advisory' section styled as a clean carousel or grid layout of cards with rich, soft borders and clear typography.
4. A sticky floating action header or prominent solid dark-slate button component for booking consultations.
Provide the full code block.