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/memo.svg

@@ -0,0 +1,18 @@
+<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 48 48" fill="none">
+  <!-- "Did You Get The Memo?" - Memo/sticky note with pushpin -->
+  <!-- Shadow -->
+  <rect x="10" y="12" width="30" height="30" rx="1" fill="#1e293b" opacity="0.2" transform="translate(2,2)"/>
+  <!-- Yellow memo paper -->
+  <rect x="8" y="10" width="30" height="30" rx="1" fill="#fef08a"/>
+  <!-- Corner fold -->
+  <path d="M38 10 L38 18 L30 10 Z" fill="#fde047"/>
+  <path d="M30 10 L38 18" stroke="#eab308" stroke-width="1"/>
+  <!-- Pushpin -->
+  <circle cx="24" cy="6" r="4" fill="#dc2626"/>
+  <rect x="23" y="8" width="2" height="6" fill="#94a3b8"/>
+  <!-- Text lines -->
+  <text x="12" y="22" font-size="6" fill="#713f12" font-family="sans-serif" font-weight="bold">MEMO</text>
+  <rect x="12" y="26" width="22" height="2" rx="1" fill="#ca8a04" opacity="0.5"/>
+  <rect x="12" y="30" width="18" height="2" rx="1" fill="#ca8a04" opacity="0.5"/>
+  <rect x="12" y="34" width="20" height="2" rx="1" fill="#ca8a04" opacity="0.5"/>
+</svg>