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/app/(admin)/admin/programs/[id]/apply-settings/page.tsx

@@ -311,7 +311,7 @@ export default function ApplySettingsPage() {
   // Initialize local state from server data
   useEffect(() => {
     if (serverConfig && !initialized) {
-      setConfig(serverConfig)
+      setConfig({...DEFAULT_WIZARD_CONFIG, ...serverConfig})
       setInitialized(true)
     }
   }, [serverConfig, initialized])

src/app/(admin)/admin/programs/[id]/page.tsx

@@ -1,5 +1,6 @@
 import { notFound } from 'next/navigation'
 import Link from 'next/link'
+import type { Route } from 'next'
 import { api } from '@/lib/trpc/server'
 import { Button } from '@/components/ui/button'
 import { Badge } from '@/components/ui/badge'
@@ -86,22 +87,22 @@ export default async function ProgramDetailPage({ params }: ProgramDetailPagePro
       <Card>
         <CardHeader className="flex flex-row items-center justify-between">
           <div>
-            <CardTitle>Stages</CardTitle>
+            <CardTitle>Rounds</CardTitle>
             <CardDescription>
-              Pipeline stages for this program
+              Competition rounds for this program
             </CardDescription>
           </div>
           <Button asChild>
-            <Link href={`/admin/rounds/pipelines?programId=${id}`}>
+            <Link href={`/admin/competitions?programId=${id}` as Route}>
               <Plus className="mr-2 h-4 w-4" />
-              Manage Pipeline
+              Manage Competitions
             </Link>
           </Button>
         </CardHeader>
         <CardContent>
           {(program.stages as Array<{ id: string; name: string; status: string; _count: { projects: number; assignments: number }; createdAt?: Date }>).length === 0 ? (
             <div className="py-8 text-center text-muted-foreground">
-              No stages created yet. Set up a pipeline to get started.
+              No rounds created yet. Set up a competition to get started.
             </div>
           ) : (
             <Table>