Full-Screen Index Menu

Build a "Full-Screen Index Menu" React component.

CONCEPT: A mobile-first menu: tapping the burger rolls a terracotta sheet down from the top, and oversized numbered links rise into view one after another.

LAYOUT & CONTENT:
- Header: wordmark left, burger button right (two 1.5px lines).
- Overlay: full container, terracotta #D9534F, cream text; links 'Work', 'Studio', 'Journal', 'Contact' at 2.5rem with mono numbers; footer row with an email and city.

INTERACTIONS & MOTION:
- Burger lines rotate to ±45° and meet in the middle (spring stiffness 400 damping 25).
- Overlay clipPath from inset(0 0 100% 0) to inset(0 0 0% 0) (spring stiffness 180 damping 26).
- Links: each inside overflow-hidden mask, y 100% → 0 with stagger 0.06 after 0.15s; exit reverses quickly.
- Escape closes; focus moves to first link on open.

DESIGN SYSTEM (non-negotiable):
- Palette: paper background #FAF9F6, deep charcoal #121212 for text and 1px borders, ONE warm accent: cobalt #1D4ED8 or terracotta #D9534F. Secondary surface #F2EFE8.
- Typography: Swiss / editorial. A tight grotesk for UI (Instrument Sans, Inter Tight or similar) with negative tracking on display sizes; an italic serif (Instrument Serif) used sparingly for one emphasized word.
- NO dark-mode neon, NO glow, NO glassmorphism, NO backdrop blur, NO purple-to-blue gradients, NO emoji icons. Solid fills, hairline rules, honest shadows (hard offset or none).
- Motion: Framer Motion with spring physics (type: "spring", stiffness 300-500, damping 20-35). Animate transform and opacity only. Respect prefers-reduced-motion via useReducedMotion().
- Icons: lucide-react, 1.5px stroke.
- Accessibility: real <button>/<a>/<label> elements, visible focus ring (2px cobalt, 3px offset), keyboard operable, aria attributes where state changes.

OUTPUT: one self-contained React component file (Tailwind CSS v4 utility classes, framer-motion, lucide-react), no external images, default export, ready to paste into a Next.js App Router page with "use client".