feat(agent): budget reminders, usage while waiting, budget-exceeded status and dedupe

- tool results carry a budget reminder near limits; text before the last tool
  call is dropped as report when cut by budget/abort
- usage persisted when a run suspends, so waiting sessions show spent tokens
- task page shows budget_exceeded via business.outcome instead of completed
- budget-exceeded decisions merge by root cause (decision / schedule / goal
  template); new summaries added to investigate allowlist

Co-Authored-By: Claude Opus 5.5 <[email protected]>

apps/server/src/modules/auth-settings/engine-business.ts

@@ -218,10 +218,12 @@ export async function resolveBusiness(
     }),
   );
   const agentIds = [...(byKind.get("agent") ?? [])];
-  const agents = new Map<string, { trigger: string; created_by: string | null }>();
+  const agents = new Map<string, { trigger: string; created_by: string | null; status: string }>();
   if (agentIds.length) {
-    const r = await sql<{ id: string; trigger: string; created_by: string | null }>`
-      select id::text as id, trigger, created_by from agent_run where id::text = any(${agentIds}::text[])`.execute(db);
+    const r = await sql<{ id: string; trigger: string; created_by: string | null; status: string }>`
+      select id::text as id, trigger, created_by, status from agent_run where id::text = any(${agentIds}::text[])`.execute(
+      db,
+    );
     for (const a of r.rows) agents.set(a.id, a);
   }
 
@@ -240,6 +242,7 @@ export async function resolveBusiness(
         agentCreatedBy: agent?.created_by ?? null,
         fromOutbox: !!r.idempotency_key && outboxKeys.has(r.idempotency_key),
       }),
+      ...(agent ? { outcome: agent.status } : {}),
     });
   }
   return out;