fix(tasks): claim the teardown report before the producer cancel runs

A throwing producer cancel jumped to the force-fail branch before
`reported` was set, so `settle()` announced an unreported completion and
the default wakeup delivery started a model turn on an owner the host
was already destroying — the exact failure mode marking the record
reported exists to prevent.

Teardown claims the report before calling the producer, because that
decision does not depend on whether the producer's cancel succeeds.

Also reject a `maxConsecutiveWakes` that cannot bound anything: the
field exists to cap a runaway chain, and `Infinity` removed the cap
while a fraction never named a turn.

Correct the module JSDoc and the background-task runtime note, both of
which still promised that notices never wake an idle agent.

packages/tasks/tool-tasks/src/index.ts

@@ -1,8 +1,9 @@
 /**
  * Model-facing `task_output`, `task_list`, and `task_kill` tools over
  * `ctx.tasks`. Loading the plugin attaches the controller required by
- * producers. It also injects unreported completions as durable context for the
- * owner's next request; notices do not wake idle agents.
+ * producers. It also delivers unreported completions to the owning agent:
+ * injected into a busy owner's next step, or opening a turn on an idle one
+ * under the default `wakeup` delivery, bounded per owner.
  * @module @deepseek-ai/dsh-tool-tasks
  */
 
@@ -214,6 +215,11 @@ export function apply(ctx: Context, config: Config): void {
   if (waitDefault > waitCap) {
     throw new Error(`tool-tasks: waitTimeoutMs (${waitDefault}) exceeds maxWaitTimeoutMs (${waitCap})`)
   }
+  // A budget is a count of turns. `Infinity` would leave the runaway chain this
+  // field exists to bound unbounded, and a fraction never names a turn at all.
+  if (!Number.isSafeInteger(wakeBudget)) {
+    throw new Error(`tool-tasks: maxConsecutiveWakes (${wakeBudget}) must be a whole number of turns`)
+  }
   ctx.on('agent/inbox/claimed', ({ agent, message }) => {
     // Claiming is the point the human's input actually enters a step; a notice
     // this plugin itself queued must not refill the budget it just spent.