Comprehensive admin UI stats audit: fix 16 display bugs

HIGH fixes:
- H1: Competition detail project count no longer double-counts across rounds
- H2: Rounds page header stats use unfiltered round set
- H3: Rounds page "eval" label corrected to "asgn" (assignment count)
- H4: Observer reports project count uses distinct analytics count
- H5: Awards eligibility count filters to only eligible=true (backend)
- H6: Round detail projectCount derived from projectStates for consistency
- H7: Deliberation hasVoted derived from votes array (was always undefined)

MEDIUM fixes:
- M1: Reports page round status badges use correct ROUND_ACTIVE/ROUND_CLOSED enums
- M2: Observer reports badges use ROUND_ prefix instead of stale STAGE_ prefix
- M3: Deliberation list status badges use correct VOTING/TALLYING/RUNOFF enums
- M4: Competition list/detail round count excludes special-award rounds (backend)
- M5: Messages page shows actual recipient count instead of hardcoded "1 user"

LOW fixes:
- L2: Observer analytics jurorCount scoped to round when roundId provided
- L3: Analytics round-scoped project count uses ProjectRoundState not assignments
- L4: JuryGroup delete audit log reports member count (not assignment count)
- L5: Project rankings include unevaluated projects at bottom instead of hiding

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

src/app/(observer)/observer/reports/page.tsx

@@ -100,7 +100,8 @@ function OverviewTab({ selectedValue }: { selectedValue: string | null }) {
     )
   }
 
-  const totalProjects = stages.reduce((acc, s) => acc + (s._count?.projects || 0), 0)
+  // Count distinct projects by collecting unique IDs, not summing per-round states
+  const totalProjects = overviewStats?.projectCount ?? stages.reduce((acc, s) => acc + (s._count?.projects || 0), 0)
   const activeStages = stages.filter((s) => s.status === 'ROUND_ACTIVE').length
   const totalPrograms = programs?.length || 0
 
@@ -285,14 +286,14 @@ function OverviewTab({ selectedValue }: { selectedValue: string | null }) {
                   <TableCell>
                     <Badge
                       variant={
-                        stage.status === 'STAGE_ACTIVE'
+                        stage.status === 'ROUND_ACTIVE'
                           ? 'default'
-                          : stage.status === 'STAGE_CLOSED'
+                          : stage.status === 'ROUND_CLOSED'
                             ? 'secondary'
                             : 'outline'
                       }
                     >
-                      {stage.status === 'STAGE_ACTIVE' ? 'Active' : stage.status === 'STAGE_CLOSED' ? 'Closed' : stage.status}
+                      {stage.status === 'ROUND_ACTIVE' ? 'Active' : stage.status === 'ROUND_CLOSED' ? 'Closed' : stage.status}
                     </Badge>
                   </TableCell>
                 </TableRow>
@@ -312,14 +313,14 @@ function OverviewTab({ selectedValue }: { selectedValue: string | null }) {
                 <p className="font-medium">{stage.name}</p>
                 <Badge
                   variant={
-                    stage.status === 'STAGE_ACTIVE'
+                    stage.status === 'ROUND_ACTIVE'
                       ? 'default'
-                      : stage.status === 'STAGE_CLOSED'
+                      : stage.status === 'ROUND_CLOSED'
                         ? 'secondary'
                         : 'outline'
                   }
                 >
-                  {stage.status === 'STAGE_ACTIVE' ? 'Active' : stage.status === 'STAGE_CLOSED' ? 'Closed' : stage.status}
+                  {stage.status === 'ROUND_ACTIVE' ? 'Active' : stage.status === 'ROUND_CLOSED' ? 'Closed' : stage.status}
                 </Badge>
               </div>
               <p className="text-sm text-muted-foreground">{stage.programName}</p>