Create a futuristic AI product landing page with dynamic gradient mesh backgrounds.

Visual Identity:
- Animated gradient mesh background (purple/blue/pink spectrum)
- Glassmorphic UI elements with backdrop blur
- Glowing accent effects on interactive elements
- Dark base with vibrant gradient overlays

Sections:
1. Hero: Animated mesh background, large gradient text headline, floating UI mockups
2. Demo Section: Interactive prompt input with streaming text animation showing AI response
3. Use Cases: Cards with hover-reveal details and gradient borders
4. Integrations: Logo cloud with connecting animated lines
5. Pricing: Glassmorphic cards with gradient highlights on featured tier
6. CTA: Gradient button with shimmer animation

Special Effects:
- CSS gradient mesh using multiple radial gradients with animation
- Floating particles effect using canvas or CSS
- Text gradient animations
- Glow effects on focus states
- Smooth color transitions on scroll

Code Requirements:
- React with TypeScript
- Tailwind CSS with custom gradient utilities
- Framer Motion for UI animations
- Custom hooks for mouse-following effects