Competition/Round architecture: full platform rewrite (Phases 1-9)

Replace Pipeline/Stage system with Competition/Round architecture.
New schema: Competition, Round (7 types), JuryGroup, AssignmentPolicy,
ProjectRoundState, DeliberationSession, ResultLock, SubmissionWindow.
New services: round-engine, round-assignment, deliberation, result-lock,
submission-manager, competition-context, ai-prompt-guard.
Full admin/jury/applicant/mentor UI rewrite. AI prompt hardening with
structured prompts, retry logic, and injection detection. All legacy
pipeline/stage code removed. 4 new migrations + seed aligned.

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

src/components/layouts/jury-nav.tsx

@@ -19,15 +19,15 @@ function RemainingBadge() {
 
   const now = new Date()
   const remaining = (assignments as Array<{
-    stage: { status: string; windowOpenAt: Date | null; windowCloseAt: Date | null } | null
+    round: { status: string; windowOpenAt: Date | null; windowCloseAt: Date | null } | null
     evaluation: { status: string } | null
   }>).filter((a) => {
     const isActive =
-      a.stage?.status === 'STAGE_ACTIVE' &&
-      a.stage.windowOpenAt &&
-      a.stage.windowCloseAt &&
-      new Date(a.stage.windowOpenAt) <= now &&
-      new Date(a.stage.windowCloseAt) >= now
+      a.round?.status === 'ROUND_ACTIVE' &&
+      a.round.windowOpenAt &&
+      a.round.windowCloseAt &&
+      new Date(a.round.windowOpenAt) <= now &&
+      new Date(a.round.windowCloseAt) >= now
     const isIncomplete = !a.evaluation || a.evaluation.status !== 'SUBMITTED'
     return isActive && isIncomplete
   }).length
@@ -49,8 +49,8 @@ export function JuryNav({ user }: JuryNavProps) {
       icon: Home,
     },
     {
-      name: 'Stages',
-      href: '/jury/stages',
+      name: 'Competitions',
+      href: '/jury/competitions',
       icon: Layers,
     },
     {