Admin dashboard & round management UX overhaul

- Extract round detail monolith (2900→600 lines) into 13 standalone components
- Add shared round/status config (round-config.ts) replacing 4 local copies
- Delete 12 legacy competition-scoped pages, merge project pool into projects page
- Add round-type-specific dashboard stat panels (submission, mentoring, live final, deliberation, summary)
- Add contextual header quick actions based on active round type
- Improve pipeline visualization: progress bars, checkmarks, chevron connectors, overflow fix
- Add config tab completion dots (green/amber/red) and inline validation warnings
- Enhance juries page with round assignments, member avatars, and cap mode badges
- Add context-aware project list (recent submissions vs active evaluations)
- Move competition settings into Manage Editions page

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

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

@@ -21,6 +21,7 @@ import {
 } from '@/components/ui/table'
 import { ArrowLeft, Pencil, Plus } from 'lucide-react'
 import { formatDateOnly } from '@/lib/utils'
+import { CompetitionSettings } from '@/components/admin/program/competition-settings'
 
 interface ProgramDetailPageProps {
   params: Promise<{ id: string }>
@@ -84,6 +85,24 @@ export default async function ProgramDetailPage({ params }: ProgramDetailPagePro
         </Card>
       )}
 
+      {(() => {
+        const comp = (program as any).competitions?.[0]
+        if (!comp) return null
+        return (
+          <CompetitionSettings
+            competitionId={comp.id}
+            initialSettings={{
+              categoryMode: comp.categoryMode ?? 'SHARED',
+              startupFinalistCount: comp.startupFinalistCount ?? 3,
+              conceptFinalistCount: comp.conceptFinalistCount ?? 3,
+              notifyOnRoundAdvance: comp.notifyOnRoundAdvance ?? true,
+              notifyOnDeadlineApproach: comp.notifyOnDeadlineApproach ?? true,
+              deadlineReminderDays: comp.deadlineReminderDays ?? [7, 3, 1],
+            }}
+          />
+        )
+      })()}
+
       <Card>
         <CardHeader className="flex flex-row items-center justify-between">
           <div>
@@ -93,9 +112,9 @@ export default async function ProgramDetailPage({ params }: ProgramDetailPagePro
             </CardDescription>
           </div>
           <Button asChild>
-            <Link href={`/admin/competitions?programId=${id}` as Route}>
+            <Link href={'/admin/rounds' as Route}>
               <Plus className="mr-2 h-4 w-4" />
-              Manage Competitions
+              Manage Rounds
             </Link>
           </Button>
         </CardHeader>