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/projects/page.tsx

@@ -864,7 +864,7 @@ export default function ProjectsPage() {
                       </TableHead>
                       <TableHead className="min-w-[280px]">Project</TableHead>
                       <TableHead>Category</TableHead>
-                      <TableHead>Stage</TableHead>
+                      <TableHead>Program</TableHead>
                       <TableHead>Tags</TableHead>
                       <TableHead>Assignments</TableHead>
                       <TableHead>Status</TableHead>
@@ -1065,7 +1065,7 @@ export default function ProjectsPage() {
                         </CardHeader>
                         <CardContent className="space-y-3">
                           <div className="flex items-center justify-between text-sm">
-                            <span className="text-muted-foreground">Stage</span>
+                            <span className="text-muted-foreground">Program</span>
                             <span>{project.program?.name ?? 'Unassigned'}</span>
                           </div>
                           {project.competitionCategory && (