fix(consult): complete natal chart tool on homepage topic cards (BUG-630)

Thinking models were spending the first natal step on skill_read or a Level 2 draft, so home chips such as 家庭 never satisfied the calculation contract.

Co-authored-by: Cursor <cursoragent@cursor.com>

frontend/src/components/starter-home.tsx

@@ -1,6 +1,7 @@
 "use client";
 
 import { ArrowUpRight } from "lucide-react";
+import type { ConsultationEntrypoint } from "@/lib/consultation-entrypoint";
 import type { DailyStarlanguageState, Theme } from "@/lib/home-types";
 import type { RectificationEntrySummary } from "@/lib/rectification-entry";
 
@@ -35,7 +36,11 @@ export type StarterHomeProps = {
   readonly rectificationErrorMessage: string;
   readonly starterThemes: readonly StarterHomeTheme[];
   readonly starterSuggestions: readonly StarterHomeSuggestion[];
-  readonly startSuggestedConsultation: (text: string, theme: Theme) => void;
+  readonly startSuggestedConsultation: (
+    text: string,
+    theme: Theme,
+    entrypoint?: ConsultationEntrypoint | null,
+  ) => void;
   readonly onboardingError: string;
 };
 
@@ -141,7 +146,7 @@ export function StarterHome({
                             type="button"
                             aria-label={`${theme?.label || "开始"}：${item.text}`}
                             disabled={productEntrypointsDisabled}
-                            onClick={() => void startSuggestedConsultation(item.text, item.theme)}
+                            onClick={() => void startSuggestedConsultation(item.text, item.theme, "guided_topic")}
                           >
                             <span className="starter-content">
                               <b>{theme?.label || "开始"}</b>