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/tests/rectification-agentic-entry.test.ts

@@ -919,7 +919,14 @@ test("homepage CTA is server-driven from the entry summary, not the session list
   assert.doesNotMatch(page, /hasRectificationSession/);
   assert.doesNotMatch(page, /sessions\.some\([\s\S]{0,120}birth_time_rectification/);
   assert.match(page, /resolveRectificationEntryAction/);
-  assert.match(page, /rectificationCardAction === "restart"/);
+  // 原值：assert.match(page, /rectificationCardAction === "restart"/)
+  // 新值：首页小字改由 rectificationEntryHint 直接读 entry summary 的 hasResumableCase；
+  //       「restart」分支对应的那句已删除，改锁 hint 读的是 summary 本身、不读会话列表
+  // 原因：TASK-starter-home-polish-20260926 D2 删掉「上次已经校正完…」一句；BUG-1041 查明
+  //       `=== "restart"` 从未命中（解析器读错键名）。「CTA 与提示由服务端 entry summary 驱动」这条意图不变。
+  assert.match(page, /rectificationEntryHint\(rectificationForSelf, rectificationEntrySummary\)/);
+  assert.match(page, /summary\?\.hasResumableCase/);
+  assert.doesNotMatch(page, /rectificationCardAction === "restart"/);
   assert.match(entryLib, /开始新的生时校正/);
   assert.match(entryLib, /再次校正/);
 });