Add flair badge gamification system with custom SVG badges

- Create 12 Office Space themed SVG badges (extraction, basement, printer,
  coffee, tps, bobs, memo, oface, stapler, conclusions, spreadsheet, flair-badge)
- Implement FlairBadge.astro component with localStorage persistence
- Add 15-second timer per page to earn flair
- Create floating counter, modal flair board, toast notifications
- Override Starlight Footer to inject flair system globally
- Add name capture dialog on first flair earned

Features:
- Badges glow golden when earned, grayscale when locked
- Progress persists across browser sessions
- Stan quote: "We need to talk about your document processing..."

public/flair/stapler.svg

@@ -0,0 +1,17 @@
+<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 48 48" fill="none">
+  <!-- "I Have Your Stapler" - Milton's famous red Swingline stapler -->
+  <!-- Stapler base -->
+  <rect x="4" y="32" width="40" height="8" rx="2" fill="#1e293b"/>
+  <rect x="6" y="34" width="36" height="4" rx="1" fill="#334155"/>
+  <!-- Stapler top (red!) -->
+  <path d="M6 32 L6 24 Q6 20 10 20 L38 20 Q42 20 42 24 L42 32 Z" fill="#dc2626"/>
+  <path d="M8 30 L8 25 Q8 22 11 22 L37 22 Q40 22 40 25 L40 30 Z" fill="#ef4444"/>
+  <!-- Swingline branding area -->
+  <rect x="14" y="24" width="20" height="4" rx="1" fill="#b91c1c"/>
+  <!-- Chrome accent -->
+  <rect x="6" y="30" width="36" height="2" fill="#94a3b8"/>
+  <!-- Staple loading slot -->
+  <rect x="16" y="20" width="16" height="2" fill="#991b1b"/>
+  <!-- Shadow/depth -->
+  <rect x="4" y="38" width="40" height="2" rx="1" fill="#0f172a" opacity="0.3"/>
+</svg>