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/competitions/[competitionId]/deliberation/page.tsx

@@ -109,7 +109,7 @@ export default function DeliberationListPage({
       VOTING: 'default',
       TALLYING: 'secondary',
       RUNOFF: 'secondary',
-      DELIB_LOCKED: 'destructive',
+      DELIB_LOCKED: 'secondary',
     };
     const labels: Record<string, string> = {
       DELIB_OPEN: 'Open',
@@ -173,7 +173,7 @@ export default function DeliberationListPage({
                 <div className="flex items-start justify-between">
                   <div>
                     <CardTitle>
-                      {session.round?.name} - {session.category}
+                      {session.round?.name} - {session.category === 'BUSINESS_CONCEPT' ? 'Business Concept' : session.category === 'STARTUP' ? 'Startup' : session.category}
                     </CardTitle>
                     <CardDescription className="mt-1">
                       {session.mode === 'SINGLE_WINNER_VOTE' ? 'Single Winner Vote' : 'Full Ranking'}
@@ -186,7 +186,7 @@ export default function DeliberationListPage({
                 <div className="flex flex-wrap gap-2 text-sm text-muted-foreground">
                   <span>{session.participants?.length || 0} participants</span>
                   <span>•</span>
-                  <span>Tie break: {session.tieBreakMethod}</span>
+                  <span>Tie break: {session.tieBreakMethod === 'TIE_RUNOFF' ? 'Runoff Vote' : session.tieBreakMethod === 'TIE_ADMIN_DECIDES' ? 'Admin Decides' : session.tieBreakMethod === 'SCORE_FALLBACK' ? 'Score Fallback' : session.tieBreakMethod}</span>
                 </div>
               </CardContent>
             </Card>