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/messages/page.tsx

@@ -79,7 +79,7 @@ const ROLES = ['JURY_MEMBER', 'MENTOR', 'OBSERVER', 'APPLICANT', 'PROGRAM_ADMIN'
 export default function MessagesPage() {
   const [recipientType, setRecipientType] = useState<RecipientType>('ALL')
   const [selectedRole, setSelectedRole] = useState('')
-  const [roundId, setStageId] = useState('')
+  const [roundId, setRoundId] = useState('')
   const [selectedProgramId, setSelectedProgramId] = useState('')
   const [selectedUserId, setSelectedUserId] = useState('')
   const [subject, setSubject] = useState('')
@@ -125,7 +125,7 @@ export default function MessagesPage() {
     setBody('')
     setSelectedTemplateId('')
     setSelectedRole('')
-    setStageId('')
+    setRoundId('')
     setSelectedProgramId('')
     setSelectedUserId('')
     setIsScheduled(false)
@@ -219,7 +219,7 @@ export default function MessagesPage() {
       return
     }
     if (recipientType === 'ROUND_JURY' && !roundId) {
-      toast.error('Please select a stage')
+      toast.error('Please select a round')
       return
     }
     if (recipientType === 'PROGRAM_TEAM' && !selectedProgramId) {
@@ -296,7 +296,7 @@ export default function MessagesPage() {
                   onValueChange={(v) => {
                     setRecipientType(v as RecipientType)
                     setSelectedRole('')
-                    setStageId('')
+                    setRoundId('')
                     setSelectedProgramId('')
                     setSelectedUserId('')
                   }}
@@ -335,10 +335,10 @@ export default function MessagesPage() {
 
               {recipientType === 'ROUND_JURY' && (
                 <div className="space-y-2">
-                  <Label>Select Stage</Label>
-                  <Select value={roundId} onValueChange={setStageId}>
+                  <Label>Select Round</Label>
+                  <Select value={roundId} onValueChange={setRoundId}>
                     <SelectTrigger>
-                      <SelectValue placeholder="Choose a stage..." />
+                      <SelectValue placeholder="Choose a round..." />
                     </SelectTrigger>
                     <SelectContent>
                       {rounds?.map((round) => (
@@ -616,11 +616,15 @@ export default function MessagesPage() {
                                 <CheckCircle2 className="mr-1 h-3 w-3" />
                                 Sent
                               </Badge>
-                            ) : (
+                            ) : msg.scheduledAt ? (
                               <Badge variant="default" className="text-xs">
                                 <Clock className="mr-1 h-3 w-3" />
                                 Scheduled
                               </Badge>
+                            ) : (
+                              <Badge variant="outline" className="text-xs">
+                                Draft
+                              </Badge>
                             )}
                           </TableCell>
                           <TableCell className="text-right text-sm text-muted-foreground">