Responsive 3D Character Carousel UI

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Build a single full-viewport hero section in React + TypeScript + Vite + Tailwind CSS, using `lucide-react` for icons. The component is a character-figurine carousel called "TOONHUB".

**Fonts (load in `index.html` head):**
```html
<link rel="preconnect" href="https://fonts.googleapis.com" />
<link rel="preconnect" href="https://fonts.gstatic.com" crossorigin />
<link href="https://fonts.googleapis.com/css2?family=Anton&family=Inter:wght@400;500;600;700&display=swap" rel="stylesheet" />
```
Body font: `'Inter', sans-serif`. Display font (huge ghost text + bottom-right link): `'Anton', sans-serif`.

**Image data (4 items, exact URLs and colors):**
```ts
const IMAGES = [
  { src: 'https://fifth-gentle-45902158.figma.site/_components/v2/4de492f6d9cf8244ad5293233e5c6f52407d42fc/1.02464a56.png', bg: '#F4845F', panel: '#F79B7F' },
  { src: 'https://fifth-gentle-45902158.figma.site/_components/v2/4de492f6d9cf8244ad5293233e5c6f52407d42fc/2.b977faab.png', bg: '#6BBF7A', panel: '#85CC92' },
  { src: 'https://fifth-gentle-45902158.figma.site/_components/v2/4de492f6d9cf8244ad5293233e5c6f52407d42fc/3.4df853b4.png', bg: '#E882B4', panel: '#ED9DC4' },
  { src: 'https://fifth-gentle-45902158.figma.site/_components/v2/4de492f6d9cf8244ad5293233e5c6f52407d42fc/4.4457fbce.png', bg: '#6EB5FF', panel: '#8DC4FF' },
];
```
Preload all 4 images on mount via `new Image()`.

**State & logic:**
- `activeIndex` (0–3), `isAnimating` boolean lock, `isMobile` (`window.innerWidth < 640`, updated on resize).
- `navigate('next' | 'prev')`: ignore if animating; set `isAnimating=true`; bump `activeIndex` `(prev+1)%4` or `(prev+3)%4`; release lock after `650ms`.
- Roles derived from activeIndex: `center=activeIndex`, `left=(activeIndex+3)%4`, `right=(activeIndex+1)%4`, `back=(activeIndex+2)%4`.

**Layout structure:**
Outer `<div>` has `backgroundColor: IMAGES[activeIndex].bg`, transition `background-color 650ms cubic-bezier(0.4,0,0.2,1)`, `fontFamily: 'Inter, sans-serif'`, `relative w-full overflow-hidden`. Inside, a `relative w-full` div with `height: 100vh; overflow: hidden`.

1. **Grain overlay** (`absolute inset-0 pointer-events-none`, zIndex 50): SVG fractalNoise data URI, `baseFrequency=0.9`, `numOctaves=4`, opacity 0.08 inside SVG, container `opacity: 0.4`, `backgroundSize: 200px 200px`, repeat.

2. **Giant ghost text "3D SHAPE"** (`absolute inset-x-0 flex items-center justify-center pointer-events-none select-none`, zIndex 2, `top: 18%`): font Anton, `fontSize: clamp(90px, 28vw, 380px)`, weight 900, color white, opacity 1, lineHeight 1, uppercase, letterSpacing `-0.02em`, whiteSpace nowrap.

3. **Top-left brand label "TOONHUB"** (`absolute top-6 left-4 sm:left-8`, zIndex 60): `text-xs font-semibold uppercase`, white, opacity 0.9, letterSpacing `0.18em`.

4. **Carousel** (`absolute inset-0`, zIndex 3): map all 4 IMAGES; each item is `position:absolute`, `aspectRatio: '0.6 / 1'`, with role-based styles below. Inside, an `<img>` `width:100%; height:100%; objectFit:contain; objectPosition:bottom center; draggable=false`.

   Per-role style:
   - **center**: `transform: translateX(-50%) scale(${isMobile?1.25:1.68})`, no blur, opacity 1, zIndex 20, `left:50%`, `height: isMobile?'60%':'92%'`, `bottom: isMobile?'22%':0`.
   - **left**: `translateX(-50%) scale(1)`, blur 2px, opacity 0.85, zIndex 10, `left: isMobile?'20%':'30%'`, `height: isMobile?'16%':'28%'`, `bottom: isMobile?'32%':'12%'`.
   - **right**: same as left but `left: isMobile?'80%':'70%'`.
   - **back**: `translateX(-50%) scale(1)`, blur 4px, opacity 1, zIndex 5, `left:50%`, `height: isMobile?'13%':'22%'`, `bottom: isMobile?'32%':'12%'`.

   Transition on each item: `transform 650ms cubic-bezier(0.4,0,0.2,1), filter 650ms ..., opacity 650ms ..., left 650ms ...`. `willChange: transform, filter, opacity`.

5. **Bottom-left text + nav buttons** (`absolute bottom-6 left-4 sm:bottom-20 sm:left-24`, zIndex 60, `maxWidth:320px`):
   - `<p>` "TOONHUB FIGURINES" — bold uppercase, tracking-widest, `mb-2 sm:mb-3 text-base sm:text-[22px]`, white, opacity 0.95, letterSpacing `0.02em`.
   - `<p>` (hidden on mobile, `hidden sm:block`): "The artwork is stunning, shipped fully prepared. The finish is a vision, the 3D craft is flawless. Many thanks! Wishing you the win. Order now." — `text-xs sm:text-sm`, white, opacity 0.85, lineHeight 1.6, `mb-4 sm:mb-5`.
   - Two circular buttons (`w-12 h-12 sm:w-16 sm:h-16`, transparent bg, 2px white border, white icon): `ArrowLeft` and `ArrowRight` from lucide-react, size 26, strokeWidth 2.25. On hover: scale 1.08 + bg `rgba(255,255,255,0.12)`. Transition `transform 150ms, background-color 150ms`. Click triggers `navigate('prev')` / `navigate('next')`.

6. **Bottom-right link "DISCOVER IT"** (`absolute bottom-6 right-4 sm:bottom-20 sm:right-10`, zIndex 60): `<a>` flex items-center, font Anton, `fontSize: clamp(20px, 4vw, 56px)`, weight 400, white, opacity 0.95→1 on hover (200ms), letterSpacing `-0.02em`, lineHeight 1, uppercase, no underline. Followed by `ArrowRight` (`w-5 h-5 sm:w-8 sm:h-8`, strokeWidth 2.25).

**Behavior summary:** clicking arrows rotates roles; background color, image positions, scales, blurs, and opacities all crossfade simultaneously over 650ms with `cubic-bezier(0.4,0,0.2,1)`. The character images sit at the bottom of the screen overlapping the giant "3D SHAPE" text behind them.