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/web/app/components/tasks/task-detail.tsx

@@ -15,7 +15,15 @@ import { Button } from "~/components/ui/button.tsx";
 import { errorMessage } from "~/lib/api.ts";
 import { formatDuration, formatRelative, spanSec } from "~/lib/labels.ts";
 import { cn, formatDateTime } from "~/lib/utils.ts";
-import { BUSINESS_KIND_LABEL, businessLink, runStatus, SOURCE_LABEL, sourceOf, workflowLabel } from "./labels.ts";
+import {
+  BUSINESS_KIND_LABEL,
+  businessLink,
+  engineRunStatus,
+  runStatus,
+  SOURCE_LABEL,
+  sourceOf,
+  workflowLabel,
+} from "./labels.ts";
 
 // 任务详情:业务摘要 → 时间线 → 引擎步骤(折叠)→ 操作。任务页抽屉与 /tasks/:id 共用。
 
@@ -125,7 +133,7 @@ function businessTimeline(r: EngineRunDetail): TimelineItem[] {
       });
   }
   if (r.finishedAt) {
-    const s = runStatus(r.status);
+    const s = engineRunStatus(r);
     items.push({
       id: "finished",
       at: r.finishedAt,
@@ -337,7 +345,7 @@ export function TaskDetailBody({ r, onOpenRun }: { r: EngineRunDetail; onOpenRun
 
 /** 头部一行:状态 + 业务类型 */
 export function TaskStatusLine({ r }: { r: EngineRunDetail }) {
-  const s = runStatus(r.status);
+  const s = engineRunStatus(r);
   return (
     <span className="flex flex-wrap items-center gap-2">
       <StatusBadge tone={s.tone}>{s.label}</StatusBadge>