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..."

src/assets/flair/printer.svg

@@ -0,0 +1,15 @@
+<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 48 48" fill="none">
+  <!-- "PC Load Letter" - Printer with error -->
+  <rect x="6" y="18" width="36" height="18" rx="3" fill="#64748b"/>
+  <rect x="8" y="20" width="32" height="14" rx="2" fill="#475569"/>
+  <!-- Paper tray top -->
+  <rect x="12" y="8" width="24" height="12" rx="1" fill="#e2e8f0"/>
+  <rect x="14" y="10" width="20" height="8" rx="1" fill="#f8fafc"/>
+  <!-- Paper output slot -->
+  <rect x="14" y="34" width="20" height="8" rx="1" fill="#f8fafc"/>
+  <!-- Error light -->
+  <circle cx="36" cy="24" r="3" fill="#dc2626"/>
+  <!-- Error LCD display -->
+  <rect x="12" y="22" width="18" height="6" rx="1" fill="#1e293b"/>
+  <text x="14" y="27" font-size="5" fill="#dc2626" font-family="monospace">PC LOAD</text>
+</svg>