fix(consult): five-minute answer clock as a hang guard; general mode runs on it from the start (BUG-1142)

The 70s answer clock was sized for a non-reasoning writer; thinking tokens
come out of the same clock and deepseek-v4-pro took 77s on a parents answer.
Product 2026-10-01 chose five minutes. The general / no-birth-minute loop has
no tools, so it now starts on the answer clock instead of the 110s tool clock.
Tool phase and domain budget unchanged; maxDuration 240 -> 480.

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01N4f2nya58RoRu4yEmJgRGE

docs/tasks/README.md

@@ -398,3 +398,4 @@
 - 任务书里的行号会随代码漂移，定位以符号名为准。
 - **实现合入 `staging` 的同一次推送里，必须同时把状态板那一行改掉。** 2026-09-16 的对账发现 10 份早已合入的单仍写着「待领取 / 待验收」，会导致重复派活。
 | `TASK-consult-plain-answer-20261001.md` | `PROGRESS-consult-plain-answer-20261001.md` | 普通对话「还是废话」：09-17 四步开场形状（格局名 → 谁推谁修 → 扮演哪个象）逼出谜语，问父母时爸妈被揉成一段；产品授权推翻该形状，改成先答 + 按问题里的对象分段 + 人话自检 + 空宫不单独下结论 + 父母卡标 mother/father（BUG-1132～1134） | **已实现，待 Claude 验收**（fork 子代理直接执行）；未推 staging、未部署；模型对比为环境缺口，真机清单 `docs/testing/consult-plain-answer-20261001.md` | 分支 `codex/consult-plain-answer-20261001` |
+| `TASK-consult-answer-clock-20261001.md` | `PROGRESS-consult-answer-clock-20261001.md` | 普通对话答题时钟 70 s 容不下推理模型（v4-pro 77 s），无出生分钟路线只受 110 s 工具钟管；产品定 5 分钟防卡死（BUG-1142） | **已实现，待 Claude 验收**（直接执行） | 分支 `codex/consult-answer-clock-20261001` |