Add notification bell system and MOPC onboarding form

Notification System:
- Add InAppNotification and NotificationEmailSetting database models
- Create notification service with 60+ notification types for all user roles
- Add notification router with CRUD endpoints
- Build NotificationBell UI component with dropdown and unread count
- Integrate bell into admin, jury, mentor, and observer navs
- Add notification email settings admin UI in Settings > Notifications
- Add notification triggers to filtering router (complete/failed)
- Add sendNotificationEmail function to email library
- Add formatRelativeTime utility function

MOPC Onboarding Form:
- Create /apply landing page with auto-redirect for single form
- Create seed script for MOPC 2026 application form (6 steps)
- Create seed script for default notification email settings

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

src/lib/utils.ts

@@ -59,3 +59,25 @@ export function daysUntil(date: Date | string): number {
   const now = new Date()
   return Math.ceil((target.getTime() - now.getTime()) / (1000 * 60 * 60 * 24))
 }
+
+export function formatRelativeTime(date: Date | string): string {
+  const now = new Date()
+  const target = new Date(date)
+  const diffMs = now.getTime() - target.getTime()
+  const diffSec = Math.floor(diffMs / 1000)
+  const diffMin = Math.floor(diffSec / 60)
+  const diffHour = Math.floor(diffMin / 60)
+  const diffDay = Math.floor(diffHour / 24)
+  const diffWeek = Math.floor(diffDay / 7)
+
+  if (diffSec < 60) return 'just now'
+  if (diffMin < 60) return `${diffMin}m ago`
+  if (diffHour < 24) return `${diffHour}h ago`
+  if (diffDay < 7) return `${diffDay}d ago`
+  if (diffWeek < 4) return `${diffWeek}w ago`
+
+  return new Intl.DateTimeFormat('en-US', {
+    month: 'short',
+    day: 'numeric',
+  }).format(target)
+}