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/server/routers/project.ts

@@ -89,19 +89,19 @@ export const projectRouter = router({
       // Filter by program
       if (programId) where.programId = programId
 
-      // Filter by round (via RoundAssignment join)
+      // Filter by round (via ProjectRoundState)
       if (roundId) {
-        where.roundAssignments = { some: { roundId } }
+        where.projectRoundStates = { some: { roundId } }
       }
 
       // Exclude projects already in a specific round
       if (excludeInRoundId) {
-        where.roundAssignments = { none: { roundId: excludeInRoundId } }
+        where.projectRoundStates = { none: { roundId: excludeInRoundId } }
       }
 
       // Filter by unassigned (not in any round)
       if (unassignedOnly) {
-        where.roundAssignments = { none: {} }
+        where.projectRoundStates = { none: {} }
       }
 
       // Status filter
@@ -223,13 +223,13 @@ export const projectRouter = router({
 
       if (programId) where.programId = programId
       if (roundId) {
-        where.roundAssignments = { some: { roundId } }
+        where.projectRoundStates = { some: { roundId } }
       }
       if (excludeInRoundId) {
-        where.roundAssignments = { none: { roundId: excludeInRoundId } }
+        where.projectRoundStates = { none: { roundId: excludeInRoundId } }
       }
       if (unassignedOnly) {
-        where.roundAssignments = { none: {} }
+        where.projectRoundStates = { none: {} }
       }
       if (statuses?.length) where.status = { in: statuses }
       if (tags && tags.length > 0) where.tags = { hasSome: tags }
@@ -1102,7 +1102,7 @@ export const projectRouter = router({
 
       const where: Record<string, unknown> = {
         programId,
-        roundAssignments: { none: {} }, // Projects not assigned to any round
+        projectRoundStates: { none: {} }, // Projects not assigned to any round
       }
 
       if (search) {