feat: comment-triggered wakeups, coalescing improvements, and failed run badges

Enhance heartbeat wakeup to propagate wakeCommentId, queue follow-up runs
for comment wakes on already-running agents, and merge coalesced context
snapshots. Add failed run count to sidebar badges and expose usage/result
JSON in activity service.

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

server/src/services/sidebar-badges.ts

@@ -1,9 +1,10 @@
-import { and, eq, inArray, sql } from "drizzle-orm";
+import { and, desc, eq, inArray, not, sql } from "drizzle-orm";
 import type { Db } from "@paperclip/db";
-import { approvals } from "@paperclip/db";
+import { agents, approvals, heartbeatRuns } from "@paperclip/db";
 import type { SidebarBadges } from "@paperclip/shared";
 
 const ACTIONABLE_APPROVAL_STATUSES = ["pending", "revision_requested"];
+const FAILED_HEARTBEAT_STATUSES = ["failed", "timed_out"];
 
 export function sidebarBadgeService(db: Db) {
   return {
@@ -19,10 +20,29 @@ export function sidebarBadgeService(db: Db) {
         )
         .then((rows) => Number(rows[0]?.count ?? 0));
 
+      const latestRunByAgent = await db
+        .selectDistinctOn([heartbeatRuns.agentId], {
+          runStatus: heartbeatRuns.status,
+        })
+        .from(heartbeatRuns)
+        .innerJoin(agents, eq(heartbeatRuns.agentId, agents.id))
+        .where(
+          and(
+            eq(heartbeatRuns.companyId, companyId),
+            eq(agents.companyId, companyId),
+            not(eq(agents.status, "terminated")),
+          ),
+        )
+        .orderBy(heartbeatRuns.agentId, desc(heartbeatRuns.createdAt));
+
+      const failedRuns = latestRunByAgent.filter((row) =>
+        FAILED_HEARTBEAT_STATUSES.includes(row.runStatus),
+      ).length;
+
       return {
-        // Inbox currently mirrors actionable approvals; expand as inbox categories grow.
-        inbox: actionableApprovals,
+        inbox: actionableApprovals + failedRuns,
         approvals: actionableApprovals,
+        failedRuns,
       };
     },
   };