Reconcile schema with migrations and fix failed migration

- Align schema.prisma with add_15_features migration (15 discrepancies):
  nullability, column names, PKs, missing/extra columns, onDelete behavior
- Make universal_apply_programid migration idempotent for safe re-execution
- Add reconciliation migration for missing FKs and indexes
- Fix message.ts and mentor.ts to match corrected schema field names

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

src/components/layouts/jury-nav.tsx

@@ -2,6 +2,8 @@
 
 import { BookOpen, ClipboardList, GitCompare, Home } from 'lucide-react'
 import { RoleNav, type NavItem, type RoleNavUser } from '@/components/layouts/role-nav'
+import { trpc } from '@/lib/trpc/client'
+import { Badge } from '@/components/ui/badge'
 
 const navigation: NavItem[] = [
   {
@@ -30,6 +32,38 @@ interface JuryNavProps {
   user: RoleNavUser
 }
 
+function RemainingBadge() {
+  const { data: assignments } = trpc.assignment.myAssignments.useQuery(
+    {},
+    { refetchInterval: 60000 }
+  )
+
+  if (!assignments) return null
+
+  const now = new Date()
+  const remaining = (assignments as Array<{
+    round: { status: string; votingStartAt: Date | null; votingEndAt: Date | null }
+    evaluation: { status: string } | null
+  }>).filter((a) => {
+    const isActive =
+      a.round.status === 'ACTIVE' &&
+      a.round.votingStartAt &&
+      a.round.votingEndAt &&
+      new Date(a.round.votingStartAt) <= now &&
+      new Date(a.round.votingEndAt) >= now
+    const isIncomplete = !a.evaluation || a.evaluation.status !== 'SUBMITTED'
+    return isActive && isIncomplete
+  }).length
+
+  if (remaining === 0) return null
+
+  return (
+    <Badge variant="secondary" className="text-xs font-medium">
+      {remaining} remaining
+    </Badge>
+  )
+}
+
 export function JuryNav({ user }: JuryNavProps) {
   return (
     <RoleNav
@@ -37,6 +71,7 @@ export function JuryNav({ user }: JuryNavProps) {
       roleName="Jury"
       user={user}
       basePath="/jury"
+      statusBadge={<RemainingBadge />}
     />
   )
 }