fix(home): split starter fine print, show hints only when actionable (BUG-1041)

TASK-starter-home-polish-20260926:
- D1 today's trend moves to a sub-line under the greeting
  (.starter-greeting-sub), read from the same dailyStarlanguage state the
  warm snapshot seeds; static sentence until ready, hidden without a minute.
- D2 the line under the pills appears only for a resumable case or a
  non-self subject; the first-run and redo sentences are removed.
- BUG-1041 entrySummaryFromResponse read snake_case keys while the
  entry-summary route returns camelCase, so every account parsed as a
  first run; the parser now reads the route's shape (snake_case still ok).
- D3 daily entry icon MoonStar, credits icon Coins; D4 boundary line kept.
- Records: CHANGELOG, DESIGN, VOICE, BUG_HISTORY, PROGRESS, testing list.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_017eEAG8HD3mm8gsKXgk8uU8

frontend/DESIGN.md

@@ -533,7 +533,7 @@ The empty state is the composer. It used to be a bordered hero card at
 sitting on top of the input, so the primary action was the last thing on the
 page. Three parts now, in reading order:
 
-- **Greeting** (`.starter-greeting-block`): one line, no subtitle — a single h1
+- **Greeting** (`.starter-greeting-block`): one line — a single h1
   at `clamp(24px, 2.8vw, 30px)`, weight 500, `line-height: 1.25`, centred. The
   salutation line above the question is gone; so is the question, which is the
   composer placeholder's job now («想聊什么都可以»). The line is drawn per visit
@@ -543,6 +543,14 @@ page. Three parts now, in reading order:
   `{名字}` entries dropped when no name is set. It lives in the conversation area
   with `align-content: end`, so it sits directly above the composer rather than
   floating in the middle of the row.
+- **Daily sub-line** (`.starter-greeting-sub`, 2026-09-26): today's trend sits
+  under the greeting as one quiet paragraph — `--color-ink-secondary`,
+  `--type-body-sm`, `line-height: 1.55`, `max-width: 560px`, clamped to two
+  lines with an ellipsis. It reads the same `dailyStarlanguage` state the warm
+  snapshot seeds (BUG-1040), so a warm return shows it on the first frame. Until
+  the card is ready it shows the existing static sentence「今天的星语还没写出来。」
+  with `role="status"` and no `aria-busy`, spinner or placeholder; the reveal
+  rule does not change. Without a natal minute it is not rendered at all.
 - **Composer**: unchanged, and *in the same DOM position it occupies during a
   live session*. Nothing remounts when the first message lands, so an in-flight
   draft, focus, or queued card survives the transition. Its width is
@@ -552,9 +560,14 @@ page. Three parts now, in reading order:
 - **Entry pills** (`.starter-entry`): the two product entrances, rendered inside
   `.composer-wrap` *below* the composer. The visual pill is 36px tall
   (`min-height: 36px`). The transparent hit area is the `::after` box with
-  `inset: -4px`, so the touch target is 44px. One word each, accent icon 15px.
-  Below them one line merges the daily trend with the rectification hint, and
-  an accuracy-boundary line appears when no natal minute is available.
+  `inset: -4px`, so the touch target is 44px. One word each, accent icon 15px:
+  lucide `MoonStar` for 今日星语 (was `Sparkles`, the same glyph as the credits
+  button) and `Clock3` for 生时校正. The header credits button uses lucide
+  `Coins`; its accessible name is unchanged. Below the pills there is normally
+  **nothing**: a hint line (`.starter-entry-hint`) appears only when the user has
+  something to do, and an accuracy-boundary line appears when no natal minute is
+  available. The daily trend and the rectification hint are no longer joined
+  with「·」.
 
 - **States, measured:**
   - Default border is `1px solid var(--starter-entry-border)`, and that token is
@@ -585,15 +598,19 @@ page. Three parts now, in reading order:
   entrypoint identifier and expanded only on the server. There is no
   “从一个主题开始” grid; leftover `guided_topic` values in stored sessions still
   pin domains when replayed.
-- **Rectification hint** keeps three server-driven branches — an unfinished case,
-  a finished one that can be redone (`rectificationCardAction === "restart"`),
-  and a first run. The branch comes from the entry summary, never the session
-  list.
+- **Rectification hint** (`rectificationEntryHint`, 2026-09-26) has two
+  visible branches and reads the entry summary itself, never the session list
+  and never the derived start/restart label: a non-self current person →
+  「生时校正暂时只支持本人。」; otherwise `hasResumableCase` →
+  「上次那次校正还没完成，可以接着做。」. First runs and finished cases show no
+  hint. The old first-run and "redo" sentences are gone. (The summary parser had
+  been reading the wrong key casing since 2026-08-11, so every account looked
+  like a first run — BUG-1041.)
 - **Responsive:** the pill row wraps and stays centred; there is no
   phone-specific layout, because there is no fixed-height card to collapse.
 - **Accessibility:** each pill is one native button with a descriptive accessible
-  name (the full action label, not the one-word face). The daily hint keeps
-  `role="status"` while the trend is still arriving.
+  name (the full action label, not the one-word face). The daily sub-line keeps
+  `role="status"` while the trend has not arrived.
 
 ### Account popover
 
@@ -703,7 +720,7 @@ Agent 的 live 标记只有 `InlineSpinner` 一种。曾经并存的 canvas 小
 
 **每次打开网页只揭幕一次，客户端返回首页走暖快照（2026-09-26，BUG-1040）。** 整页加载（首次打开、刷新、登录后跳转）照旧放下面这一次加载屏。同一次打开里从星盘 / 星历 / 我的报告 / 星盘档案经侧栏「新建对话」、历史会话行、账户页脚或浏览器返回回到 `/`，不再出现加载环：第一次冷启动成功后，模型目录、校正入口摘要、会话分页游标和今日星语记进模块级暖快照（`lib/home-warm-snapshot.ts`，按账户隔离、只在内存、不落任何存储；账户、资料与会话列表本来就在布局层的会话列表 provider 里跨页存活）。首页重挂时若快照齐全，首帧即可用，落点按冷启动同一套规则同步算出（`?new=1` 新建本地空对话、`?c=` 打开该会话、登录返回存根与其人物范围同 BUG-1038），随后后台刷新模型目录、账户、后台回答恢复、入口摘要与今日星语，结果到了静默替换；消息没缓存的历史会话沿用首页内切换会话的留白方式。快照缺任何一项、落点需要去服务端查、或客户端导航没留下目标地址（Next 先渲染新页面、后写地址栏，`AppLink` 在点击时记下目标），一律回到冷启动，不半揭幕。账户变化、退出、任一 401 清空快照；今日星语跨日或换人按新键重取，卡片先用静态句。
 
-首页只揭幕一次。揭幕前的加载屏先并行取账户 / 会话、模型目录和咨询状态，再等待 lookup、会话详情等依赖数据全部到齐；不设 8 秒硬超时，超过 `HOME_BOOTSTRAP_SLOW_MS = 20_000` 才进入现有全屏错误屏。错误屏的「重试」只取消旧请求、重载 provider 并局部重跑 bootstrap，不调用 `location.reload()`。揭幕后不得再出现任何阻塞等待或组件级 spinner：今日星语未到显示静态文案「今天的星语还没写出来。」（不带 `aria-busy`），校正卡用无摘要文案，内容到达后静默替换。登录后的空首页只剩问候语、今日星语卡、生时校正卡和输入框，没有主题卡。切换到消息尚未缓存的会话时消息区留白并只给 `sr-only` 文案，不转圈；揭幕后按侧栏顺序后台预取最近 5 条会话（`SESSION_PREFETCH_COUNT`）让常见切换零等待。轨道环消失后不得再换一套动效继续等。
+首页只揭幕一次。揭幕前的加载屏先并行取账户 / 会话、模型目录和咨询状态，再等待 lookup、会话详情等依赖数据全部到齐；不设 8 秒硬超时，超过 `HOME_BOOTSTRAP_SLOW_MS = 20_000` 才进入现有全屏错误屏。错误屏的「重试」只取消旧请求、重载 provider 并局部重跑 bootstrap，不调用 `location.reload()`。揭幕后不得再出现任何阻塞等待或组件级 spinner：今日星语未到时问候下方副行显示静态文案「今天的星语还没写出来。」（不带 `aria-busy`），校正卡用无摘要文案，内容到达后静默替换。登录后的空首页只剩问候语、今日星语卡、生时校正卡和输入框，没有主题卡。切换到消息尚未缓存的会话时消息区留白并只给 `sr-only` 文案，不转圈；揭幕后按侧栏顺序后台预取最近 5 条会话（`SESSION_PREFETCH_COUNT`）让常见切换零等待。轨道环消失后不得再换一套动效继续等。
 
 ### 首屏死屏兜底