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/projects/pool/page.tsx

@@ -58,17 +58,17 @@ export default function ProjectPoolPage() {
   const stages = (selectedProgramData?.stages || []) as Array<{ id: string; name: string }>
 
   const utils = trpc.useUtils()
-  const assignMutation = trpc.projectPool.assignToStage.useMutation({
+  const assignMutation = trpc.projectPool.assignToRound.useMutation({
     onSuccess: (result) => {
       utils.project.list.invalidate()
       utils.program.get.invalidate()
-      toast.success(`Assigned ${result.assignedCount} project${result.assignedCount !== 1 ? 's' : ''} to stage`)
+      toast.success(`Assigned ${result.assignedCount} project${result.assignedCount !== 1 ? 's' : ''} to round`)
       setSelectedProjects([])
       setAssignDialogOpen(false)
       setTargetStageId('')
       refetch()
     },
-    onError: (error) => {
+    onError: (error: any) => {
       toast.error(error.message || 'Failed to assign projects')
     },
   })
@@ -77,14 +77,14 @@ export default function ProjectPoolPage() {
     if (selectedProjects.length === 0 || !targetStageId) return
     assignMutation.mutate({
       projectIds: selectedProjects,
-      stageId: targetStageId,
+      roundId: targetStageId,
     })
   }
 
-  const handleQuickAssign = (projectId: string, stageId: string) => {
+  const handleQuickAssign = (projectId: string, roundId: string) => {
     assignMutation.mutate({
       projectIds: [projectId],
-      stageId,
+      roundId,
     })
   }
 
@@ -242,7 +242,7 @@ export default function ProjectPoolPage() {
                               <Skeleton className="h-9 w-[200px]" />
                             ) : (
                               <Select
-                                onValueChange={(stageId) => handleQuickAssign(project.id, stageId)}
+                                onValueChange={(roundId) => handleQuickAssign(project.id, roundId)}
                                 disabled={assignMutation.isPending}
                               >
                                 <SelectTrigger className="w-[200px]">