fix(admin): Support entry in sidebar + awaiting-admin badge

The /admin/support page existed but was invisible from the panel — sidebar
NAV array didn't list it. Adds Support as the 2nd nav item (right after
Overview, since unanswered tickets are the most-time-sensitive thing an
admin checks). Sidebar polls /v1/admin/support/counts every 30s and renders
an amber count badge next to the entry when tickets are awaiting_admin.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

apps/api/src/routes/support.ts

@@ -3,6 +3,7 @@ import {
   createDb,
   desc,
   eq,
+  sql,
   supportMessages,
   supportTickets,
   users,
@@ -182,6 +183,18 @@ export async function supportRoutes(app: FastifyInstance): Promise<void> {
   });
 
   // ─── Admin-side ────────────────────────────────────────────────────────
+  app.get(
+    '/v1/admin/support/counts',
+    { preHandler: requireAdmin },
+    async (_req, reply) => {
+      const [row] = await db
+        .select({ count: sql<number>`count(*)::int` })
+        .from(supportTickets)
+        .where(eq(supportTickets.status, 'awaiting_admin'));
+      return reply.send({ awaitingAdmin: row?.count ?? 0 });
+    },
+  );
+
   app.get(
     '/v1/admin/support/tickets',
     { preHandler: requireAdmin },