feat: semi-finalist tracker dashboard, account reminders, search + UX fixes

- Add getSemiFinalistStats query with per-category/per-award breakdown
- Add sendAccountReminders mutation with invite token generation and dedup
- Add SemiFinalistTracker dashboard widget with progress bars and remind buttons
- Add ACCOUNT_REMINDER email template
- Extend project search to match team member name/email (7 locations)
- Fix Passed count deduplication: count distinct projects, not round-state rows
- Fix role switcher: visible pills above user section, auto-refresh session on mount

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

src/server/routers/project.ts

@@ -133,6 +133,8 @@ export const projectRouter = router({
           { title: { contains: search, mode: 'insensitive' } },
           { teamName: { contains: search, mode: 'insensitive' } },
           { description: { contains: search, mode: 'insensitive' } },
+          { teamMembers: { some: { user: { name: { contains: search, mode: 'insensitive' } } } } },
+          { teamMembers: { some: { user: { email: { contains: search, mode: 'insensitive' } } } } },
         ]
       }
 
@@ -163,17 +165,28 @@ export const projectRouter = router({
           },
         }),
         ctx.prisma.project.count({ where }),
-        ctx.prisma.projectRoundState.groupBy({
-          by: ['state'],
-          where: where.programId ? { project: { programId: where.programId as string } } : {},
-          _count: true,
-        }),
+        // Count distinct projects per state (avoids double-counting projects that passed multiple rounds)
+        (async () => {
+          const stateFilter = where.programId ? { project: { programId: where.programId as string } } : {}
+          const states = ['PENDING', 'IN_PROGRESS', 'PASSED', 'REJECTED', 'COMPLETED', 'WITHDRAWN'] as const
+          const counts = await Promise.all(
+            states.map(async (state) => ({
+              state,
+              count: await ctx.prisma.projectRoundState.findMany({
+                where: { ...stateFilter, state },
+                select: { projectId: true },
+                distinct: ['projectId'],
+              }).then((rows) => rows.length),
+            }))
+          )
+          return counts
+        })(),
       ])
 
-      // Build round-state counts
+      // Build round-state counts (distinct projects per state)
       const statusCounts: Record<string, number> = {}
       for (const g of roundStateCounts) {
-        statusCounts[g.state] = g._count
+        statusCounts[g.state] = g.count
       }
 
       const projectsWithLogos = await attachProjectLogoUrls(projects)
@@ -259,6 +272,8 @@ export const projectRouter = router({
           { title: { contains: search, mode: 'insensitive' } },
           { teamName: { contains: search, mode: 'insensitive' } },
           { description: { contains: search, mode: 'insensitive' } },
+          { teamMembers: { some: { user: { name: { contains: search, mode: 'insensitive' } } } } },
+          { teamMembers: { some: { user: { email: { contains: search, mode: 'insensitive' } } } } },
         ]
       }
 
@@ -1151,6 +1166,8 @@ export const projectRouter = router({
         where.OR = [
           { title: { contains: search, mode: 'insensitive' } },
           { teamName: { contains: search, mode: 'insensitive' } },
+          { teamMembers: { some: { user: { name: { contains: search, mode: 'insensitive' } } } } },
+          { teamMembers: { some: { user: { email: { contains: search, mode: 'insensitive' } } } } },
         ]
       }