Admin UI audit round 2: fix 28 display bugs across 23 files

HIGH fixes (broken features / wrong data):
- H1: Fix roundAssignments → projectRoundStates in project router (7 occurrences)
- H2: Fix deliberation results panel blank table (wrong field names)
- H3: Fix deliberation participant names blank (wrong data path)
- H4: Fix awards "Evaluated" stat duplicating "Eligible" count
- H5: Fix cross-round comparison enabled at 1 round (backend requires 2)
- H6: Fix setState during render anti-pattern (6 occurrences)
- H7: Fix round detail jury member count always showing 0
- H8: Remove 4 invalid status values from observer dashboard filter
- H9: Fix filtering progress bar always showing 100%

MEDIUM fixes (misleading display):
- M1: Filter special-award rounds from competition timeline
- M2: Exclude special-award rounds from distinct project count
- M3: Fix MENTORING pipeline node hardcoded "0 mentored"
- M4: Fix DELIB_LOCKED badge using red for success state
- M5: Add status label maps to deliberation session detail
- M6: Humanize deliberation category + tie-break method displays
- M8: Rename setStageId → setRoundId, "Select Stage" → "Select Round"
- M9: Add missing INVITED/ACTIVE/SUSPENDED to members status labels
- M10: Add ROUND_DRAFT/ACTIVE/CLOSED/ARCHIVED to StatusBadge
- M11: Fix unsent messages showing "Scheduled" instead of "Draft"
- M12: Rename misleading totalEvaluations → totalAssignments
- M13: Rename "Stage" column to "Program" in projects page

LOW fixes (cosmetic / edge-case):
- L1: Use unfiltered rounds array for active round detection
- L2: Use all rounds length for new round sort order
- L3: Filter special-award rounds from header count
- L4: Fix single-underscore replace in award status badges
- L5: Fix score bucket boundary gaps (4.99 dropped between buckets)
- L6: Title-case LIVE_FINAL pipeline metric status
- L7: Fix roundType.replace only replacing first underscore
- L8: Remove duplicate severity sort in smart-actions component

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

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

@@ -450,7 +450,7 @@ export default function RoundDetailPage() {
   [projectStates])
   const passedCount = stateCounts['PASSED'] ?? 0
   const juryGroup = round?.juryGroup
-  const juryMemberCount = juryGroup?.members?.length ?? 0
+  const juryMemberCount = juryGroupDetail?.members?.length ?? 0
 
   const isFiltering = round?.roundType === 'FILTERING'
   const isEvaluation = round?.roundType === 'EVALUATION'

src/app/(admin)/admin/rounds/page.tsx

@@ -95,6 +95,7 @@ type RoundWithStats = {
   sortOrder: number
   windowOpenAt: string | null
   windowCloseAt: string | null
+  specialAwardId: string | null
   juryGroup: { id: string; name: string } | null
   _count: { projectRoundStates: number; assignments: number }
 }
@@ -193,7 +194,7 @@ export default function RoundsPage() {
       return
     }
     const slug = roundForm.name.toLowerCase().replace(/[^a-z0-9]+/g, '-').replace(/^-|-$/g, '')
-    const nextOrder = rounds.length
+    const nextOrder = (compDetail?.rounds ?? []).length
     createRoundMutation.mutate({
       competitionId: comp.id,
       name: roundForm.name.trim(),
@@ -286,7 +287,7 @@ export default function RoundsPage() {
   const totalProjects = (compDetail as any)?.distinctProjectCount ?? 0
   const allRounds = (compDetail?.rounds ?? []) as RoundWithStats[]
   const totalAssignments = allRounds.reduce((s, r) => s + r._count.assignments, 0)
-  const activeRound = rounds.find((r) => r.status === 'ROUND_ACTIVE')
+  const activeRound = allRounds.find((r) => r.status === 'ROUND_ACTIVE')
 
   return (
     <TooltipProvider delayDuration={200}>
@@ -327,7 +328,7 @@ export default function RoundsPage() {
               </Tooltip>
             </div>
             <div className="flex items-center gap-4 mt-1 text-sm text-muted-foreground">
-              <span>{allRounds.length} rounds</span>
+              <span>{allRounds.filter((r) => !r.specialAwardId).length} rounds</span>
               <span className="text-muted-foreground/30">|</span>
               <span>{totalProjects} projects</span>
               <span className="text-muted-foreground/30">|</span>