Create a full-screen immersive landing page for a fictional creative-tech studio called "VortxLab Creations" (brand: "V O R T X"). The page features a looping background video, a glassmorphism-cut button aesthetic with octagonal clip-path shapes, and staggered fade-up entrance animations on every element.

### Tech Stack
- React + TypeScript + Vite
- Tailwind CSS (configured with `fontFamily.inter: ['Inter', 'sans-serif']`)
- `lucide-react` for icons (only `ArrowRight` used)
- Google Fonts: **Inter** weights 300–900, loaded via `<link>` in index.html with preconnect to fonts.googleapis.com and fonts.gstatic.com

### Global CSS (index.css)
- `@tailwind base/components/utilities`
- `body { font-family: 'Inter', sans-serif; background-color: #000000; }`
- Three octagonal clip-path button classes:

**`.btn-cut`** (large buttons, 12px cut):
```
clip-path: polygon(
  12px 0%, calc(100% - 12px) 0%, 100% 12px, 100% calc(100% - 12px),
  calc(100% - 12px) 100%, 12px 100%, 0% calc(100% - 12px), 0% 12px
);
```

**`.btn-cut-border`** (outline variant): `position: relative; background: white;` same clip-path as above. A `::before` pseudo-element with `inset: 1px; background: black;` and the same clip-path but offset by 1px (11px values), `z-index: 0`. Direct children get `position: relative; z-index: 1;` so text shows on black.

**`.btn-cut-sm`** (small social buttons, 8px cut): same polygon but with 8px values.

### Animations (in index.css)
```css
@keyframes fadeUp {
  from { opacity: 0; transform: translateY(24px); }
  to   { opacity: 1; transform: translateY(0); }
}
@keyframes fadeIn {
  from { opacity: 0; }
  to   { opacity: 1; }
}
.anim-stagger {
  opacity: 0;
  animation: fadeUp 0.8s cubic-bezier(0.16, 1, 0.3, 1) forwards;
}
.anim-fade {
  opacity: 0;
  animation: fadeIn 1s cubic-bezier(0.16, 1, 0.3, 1) forwards;
}
```

### Background Video
Use this exact CloudFront URL as the `<video src>`:
```
https://r2.motionsites.dev/motionsites/assets/b262bf61e731.mp4
```
Attributes: `autoPlay loop muted playsInline`, class `absolute inset-0 w-full h-full object-cover anim-fade` with `animationDelay: '0.2s'`.

### Layout Structure (App.tsx)

Root: `div.h-screen.w-full.bg-black.p-3.md:p-4.font-inter`
 → Inner: `div.w-full.h-full.rounded-2xl.flex.flex-col.overflow-hidden.relative.bg-black` (this is the liquid-glass container — rounded corners, overflow hidden, video absolute behind content)
   → `<video>` (absolute background, as above)

**Navbar** (`nav.relative.z-10.flex.items-center.justify-between.px-6.md:px-10.pt-6.md:pt-8`):
- **Logo block** (`.anim-stagger`, delay 0.1s): custom SVG logo (256×256 viewBox, white fill, four quarter-circle shapes forming a vortex/plus pattern), sized `w-14 h-14 md:w-16 md:h-16`. Below it: `<span>` "V O R T X" — `text-white text-[10px] md:text-xs tracking-[0.4em] mt-1 font-light`.
- **Nav buttons** (`.anim-stagger`, delay 0.2s, `flex items-center gap-3`):
  - "Neural Synergy" — `hidden md:block px-5 py-2.5 text-white text-sm hover:bg-white/10 btn-cut-border` (text wrapped in `<span>`)
  - "Cyber Synthesis" — `hidden md:block px-5 py-2.5 bg-white text-black text-sm hover:bg-white/90 btn-cut`

**Main content** (`div.relative.z-10.flex-1.flex.flex-col.justify-between.px-6.md:px-10.pb-8.md:pb-10`):

*Top section* (`div.flex-1.flex.items-center.relative`):
- **Left column** (`.anim-stagger`, delay 0.4s) — `hidden lg:flex flex-col gap-6 absolute left-0 top-[18%]`:
  - Paragraph: `text-white/80 text-base leading-relaxed max-w-[220px]` — text "Come with us<br>exploring the<br>horizon"
  - Decorative group (`flex flex-col gap-2 mt-4`):
    - Two `4×4` circles: `rounded-full border border-white/40` in a `flex items-center gap-1` row
    - Row (`flex items-center gap-2 mt-2`): `<span>` "Perpetual<br>Immersion" (`text-white/70 text-xs`) + `<span>` "01" (`text-white/50 text-xs`)
- **Center heading** (`.anim-stagger`, delay 0.5s) — `div.w-full.text-center`:
  - `<h1>` `text-white text-3xl sm:text-4xl md:text-5xl lg:text-6xl xl:text-7xl font-normal leading-[1.1] tracking-[-0.04em]` with inline `textShadow: '0 2px 12px rgba(0,0,0,0.25)'`. Three lines:
    ```
    Forging Tomorrow
    Virtual Horizon
    VortxLab Creations
    ```

*Bottom row* (`div.grid.grid-cols-1.md:grid-cols-3.gap-6.items-center.mt-8`) — **3 columns; on mobile all center-aligned, on md+ outer columns right-aligned**:
- **Col 1** (`.anim-stagger`, delay 0.7s) — `flex items-center justify-center md:justify-end`:
  - `<p>` `text-white text-sm leading-relaxed max-w-[260px] text-center md:text-left md:ml-auto` — "We push past conventions, reshaping the virtual terrain with next-level technologies."
- **Col 2** (`.anim-stagger`, delay 0.85s) — `flex flex-col items-center gap-8 md:gap-24` (smaller gap on mobile, large gap on desktop):
  - `<span>` `text-white text-2xl md:text-3xl font-medium` — "Net Dynamics"
  - `<button>` `w-full max-w-[280px] py-3.5 bg-white flex items-center justify-center gap-2 text-black hover:bg-white/90 transition-colors group btn-cut`:
    - `<span>` `text-sm font-medium` — "Discover Now"
    - `<ArrowRight className="w-4 h-4 group-hover:translate-x-1 transition-transform" />`
- **Col 3** (`.anim-stagger`, delay 1s) — `flex items-center justify-center md:justify-end gap-3`:
  - Three social buttons, each `w-10 h-10 bg-white flex items-center justify-center text-black hover:bg-white/90 transition-colors btn-cut-sm`, containing custom inline SVGs (`w-4 h-4 fill="currentColor"`, viewBox `0 0 24 24`): **X (Twitter)**, **LinkedIn**, **Facebook** — standard brand path data.

### Staggered Animation Delays (summary)
| Element | Class | Delay |
|---|---|---|
| Background video | `anim-fade` | 0.2s |
| Logo + brand | `anim-stagger` | 0.1s |
| Nav buttons | `anim-stagger` | 0.2s |
| Left column | `anim-stagger` | 0.4s |
| Center heading | `anim-stagger` | 0.5s |
| Bottom col 1 | `anim-stagger` | 0.7s |
| Bottom col 2 | `anim-stagger` | 0.85s |
| Bottom col 3 | `anim-stagger` | 1s |

### Responsive Rules
- Page padding: `p-3` mobile / `md:p-4` desktop
- Nav and content horizontal padding: `px-6` / `md:px-10`
- Left column: hidden below `lg`
- Nav buttons: hidden below `md`
- Heading scales: `text-3xl → sm:4xl → md:5xl → lg:6xl → xl:7xl`
- Bottom row: single column on mobile, 3 columns from `md` up
- On mobile: bottom-row columns 1 & 3 are **center-aligned** (`justify-center`); on `md+` they're `justify-end`
- Column 2 gap: `gap-8` mobile / `md:gap-24` desktop
- Social button text and description text: `text-center` on mobile, `md:text-left` (with `md:ml-auto`)

### index.html
- `<title>VortxLab Creations</title>`
- Google Fonts Inter link: `https://fonts.googleapis.com/css2?family=Inter:wght@300;400;500;600;700;800;900&display=swap`

### Tailwind config
```js
theme: { extend: { fontFamily: { inter: ['Inter', 'sans-serif'] } } }
```

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