feat: server-side issue search, dashboard charts, and inbox badges

Add ILIKE-based issue search across title, identifier, description,
and comments with relevance ranking. Add assigneeUserId filter and
allow agents to return issues to creator. Show assigned issue count
in sidebar badges. Add minCount param to live-runs endpoint. Add
activity charts (run activity, priority, status, success rate) to
dashboard. Improve active agents panel with recent run cards.

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

server/src/routes/sidebar-badges.ts

@@ -1,11 +1,13 @@
 import { Router } from "express";
 import type { Db } from "@paperclip/db";
-import { and, eq, sql } from "drizzle-orm";
-import { joinRequests } from "@paperclip/db";
+import { and, eq, inArray, isNull, sql } from "drizzle-orm";
+import { issues, joinRequests } from "@paperclip/db";
 import { sidebarBadgeService } from "../services/sidebar-badges.js";
 import { accessService } from "../services/access.js";
 import { assertCompanyAccess } from "./authz.js";
 
+const INBOX_ISSUE_STATUSES = ["backlog", "todo", "in_progress", "in_review", "blocked"] as const;
+
 export function sidebarBadgeRoutes(db: Db) {
   const router = Router();
   const svc = sidebarBadgeService(db);
@@ -32,7 +34,26 @@ export function sidebarBadgeRoutes(db: Db) {
         .then((rows) => Number(rows[0]?.count ?? 0))
       : 0;
 
-    const badges = await svc.get(companyId, { joinRequests: joinRequestCount });
+    const assignedIssueCount =
+      req.actor.type === "board" && req.actor.userId
+        ? await db
+          .select({ count: sql<number>`count(*)` })
+          .from(issues)
+          .where(
+            and(
+              eq(issues.companyId, companyId),
+              eq(issues.assigneeUserId, req.actor.userId),
+              inArray(issues.status, [...INBOX_ISSUE_STATUSES]),
+              isNull(issues.hiddenAt),
+            ),
+          )
+          .then((rows) => Number(rows[0]?.count ?? 0))
+        : 0;
+
+    const badges = await svc.get(companyId, {
+      joinRequests: joinRequestCount,
+      assignedIssues: assignedIssueCount,
+    });
     res.json(badges);
   });