Round system redesign: Phases 1-7 complete

Full pipeline/track/stage architecture replacing the legacy round system.

Schema: 11 new models (Pipeline, Track, Stage, StageTransition,
ProjectStageState, RoutingRule, Cohort, CohortProject, LiveProgressCursor,
OverrideAction, AudienceVoter) + 8 new enums.

Backend: 9 new routers (pipeline, stage, routing, stageFiltering,
stageAssignment, cohort, live, decision, award) + 6 new services
(stage-engine, routing-engine, stage-filtering, stage-assignment,
stage-notifications, live-control).

Frontend: Pipeline wizard (17 components), jury stage pages (7),
applicant pipeline pages (3), public stage pages (2), admin pipeline
pages (5), shared stage components (3), SSE route, live hook.

Phase 6 refit: 23 routers/services migrated from roundId to stageId,
all frontend components refitted. Deleted round.ts (985 lines),
roundTemplate.ts, round-helpers.ts, round-settings.ts, round-type-settings.tsx,
10 legacy admin pages, 7 legacy jury pages, 3 legacy dialogs.

Phase 7 validation: 36 tests (10 unit + 8 integration files) all passing,
TypeScript 0 errors, Next.js build succeeds, 13 integrity checks,
legacy symbol sweep clean, auto-seed on first Docker startup.

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

src/app/(public)/apply/[slug]/page.tsx

@@ -8,13 +8,13 @@ import { Button } from '@/components/ui/button'
 import { DEFAULT_WIZARD_CONFIG } from '@/types/wizard-config'
 import { toast } from 'sonner'
 
-export default function RoundApplyPage() {
+export default function StageApplyPage() {
   const params = useParams()
   const router = useRouter()
   const slug = params.slug as string
 
   const { data: config, isLoading, error } = trpc.application.getConfig.useQuery(
-    { slug, mode: 'round' },
+    { slug, mode: 'stage' },
     { retry: false }
   )
 
@@ -30,7 +30,7 @@ export default function RoundApplyPage() {
     )
   }
 
-  if (error || !config || config.mode !== 'round') {
+  if (error || !config || config.mode !== 'stage') {
     return (
       <div className="min-h-screen flex items-center justify-center p-4 bg-gradient-to-br from-background to-muted/30">
         <div className="text-center">
@@ -45,17 +45,17 @@ export default function RoundApplyPage() {
 
   return (
     <ApplyWizardDynamic
-      mode="round"
+      mode="stage"
       config={config.wizardConfig ?? DEFAULT_WIZARD_CONFIG}
       programName={config.program.name}
       programYear={config.program.year}
-      roundId={config.round.id}
-      isOpen={config.round.isOpen}
-      submissionDeadline={config.round.submissionEndDate}
+      stageId={config.stage.id}
+      isOpen={config.stage.isOpen}
+      submissionDeadline={config.stage.submissionEndDate}
       onSubmit={async (data) => {
         await submitMutation.mutateAsync({
-          mode: 'round',
-          roundId: config.round.id,
+          mode: 'stage',
+          stageId: config.stage.id,
           data: data as any,
         })
       }}