feat: admin UI for finalist slot quotas + waitlist on grand-finale round

- New components/admin/grand-finale/finalist-slots-card: per-category
  quota editor with confirmed/pending counts, dirty-tracking, save button.
  Renders an empty editor for both Startup and Business Concept categories
  even when no quota exists yet.
- New components/admin/grand-finale/waitlist-card: per-category ranked
  waitlist display with status badges + manual-promote AlertDialog
  (audit-logged via FINALIST_MANUAL_PROMOTE).
- Round detail page: embeds both cards conditionally when
  roundType === 'LIVE_FINAL'.
- New finalist router queries: listQuotas, listCategoryCounts (groupBy
  on category+status), listWaitlist (rank-ordered with project relation).

Smoke-tested: setting Startup quota to 3 persists to DB; UI renders
quota editor and waitlist card cleanly with empty state.

src/app/(admin)/admin/rounds/[roundId]/page.tsx

@@ -92,6 +92,8 @@ import { ProjectStatesTable } from '@/components/admin/round/project-states-tabl
 import { FileRequirementsEditor } from '@/components/admin/round/file-requirements-editor'
 import { FilteringDashboard } from '@/components/admin/round/filtering-dashboard'
 import { MentoringRoundOverview } from '@/components/admin/round/mentoring-round-overview'
+import { FinalistSlotsCard } from '@/components/admin/grand-finale/finalist-slots-card'
+import { WaitlistCard } from '@/components/admin/grand-finale/waitlist-card'
 import { RankingDashboard } from '@/components/admin/round/ranking-dashboard'
 import { CoverageReport } from '@/components/admin/assignment/coverage-report'
 import { AssignmentPreviewSheet } from '@/components/admin/assignment/assignment-preview-sheet'
@@ -583,6 +585,7 @@ export default function RoundDetailPage() {
   const isFiltering = round?.roundType === 'FILTERING'
   const isEvaluation = round?.roundType === 'EVALUATION'
   const isMentoring = round?.roundType === 'MENTORING'
+  const isGrandFinale = round?.roundType === 'LIVE_FINAL'
 
   // Mentor pool size — used by Round Details panel below to replace the
   // always-empty "Jury Group" row on MENTORING rounds.
@@ -1481,6 +1484,14 @@ export default function RoundDetailPage() {
           {/* Mentoring-specific stats \u2014 only on MENTORING rounds */}
           {isMentoring && <MentoringRoundOverview roundId={roundId} />}
 
+          {/* Grand-finale logistics \u2014 only on LIVE_FINAL rounds */}
+          {isGrandFinale && programId && (
+            <div className="grid gap-4 md:grid-cols-2">
+              <FinalistSlotsCard programId={programId} />
+              <WaitlistCard programId={programId} />
+            </div>
+          )}
+
           {/* Round Info + Project Breakdown */}
           <div className="grid gap-4 sm:grid-cols-2">
             <AnimatedCard index={2}>