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>

ui/src/api/heartbeats.ts

@@ -42,6 +42,6 @@ export const heartbeatsApi = {
     api.get<LiveRunForIssue[]>(`/issues/${issueId}/live-runs`),
   activeRunForIssue: (issueId: string) =>
     api.get<ActiveRunForIssue | null>(`/issues/${issueId}/active-run`),
-  liveRunsForCompany: (companyId: string) =>
-    api.get<LiveRunForIssue[]>(`/companies/${companyId}/live-runs`),
+  liveRunsForCompany: (companyId: string, minCount?: number) =>
+    api.get<LiveRunForIssue[]>(`/companies/${companyId}/live-runs${minCount ? `?minCount=${minCount}` : ""}`),
 };

ui/src/api/issues.ts

@@ -2,9 +2,24 @@ import type { Approval, Issue, IssueAttachment, IssueComment, IssueLabel } from
 import { api } from "./client";
 
 export const issuesApi = {
-  list: (companyId: string, filters?: { projectId?: string }) => {
+  list: (
+    companyId: string,
+    filters?: {
+      status?: string;
+      projectId?: string;
+      assigneeAgentId?: string;
+      assigneeUserId?: string;
+      labelId?: string;
+      q?: string;
+    },
+  ) => {
     const params = new URLSearchParams();
+    if (filters?.status) params.set("status", filters.status);
     if (filters?.projectId) params.set("projectId", filters.projectId);
+    if (filters?.assigneeAgentId) params.set("assigneeAgentId", filters.assigneeAgentId);
+    if (filters?.assigneeUserId) params.set("assigneeUserId", filters.assigneeUserId);
+    if (filters?.labelId) params.set("labelId", filters.labelId);
+    if (filters?.q) params.set("q", filters.q);
     const qs = params.toString();
     return api.get<Issue[]>(`/companies/${companyId}/issues${qs ? `?${qs}` : ""}`);
   },