Method markBackgroundWorkNotifyOnTerminal

src/node/services/taskService.ts:4123–4128

* Durably mark a still-active task/handle as `notify_on_terminal`. Used when a foreground wait * detaches because it exceeded its foreground wait budget (timeout) and the work continues in the * background: like queued-message detachment, the work must not re-force the owner to await it. *

(
    taskId: string,
    ownerWorkspaceId: string
  )

   * Awaited so callers (e.g. the task tool) can rely on the policy before returning pending results.
   */
  async markBackgroundWorkNotifyOnTerminal(
    taskId: string,
    ownerWorkspaceId: string
  ): Promise<void> {
    await this.persistNotifyOnTerminalPolicy(taskId, ownerWorkspaceId);
  }

  private scheduleNotifyOnTerminalPersist(
    taskId: string,