refactor(ECR-001): 接入 ESS 并完成结构对齐 Phase A–E

绑定 ESS 双轨治理，拆分超大 H5 页与 Go 引擎，抽出 membership 服务，
并将 star/fortune 重命名为 outlook（JSON 双写兼容）；同时修复 /psy API 代理与首页 + 菜单层级。

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

apps/api/internal/star/helpers.go

@@ -0,0 +1,75 @@
+package star
+
+import (
+	"fmt"
+	"time"
+
+	"github.com/yuxingu/digital-psychology/apps/api/internal/star/natal"
+)
+
+func signIndexOf(key string) int {
+	for i, s := range []string{
+		"aries", "taurus", "gemini", "cancer", "leo", "virgo",
+		"libra", "scorpio", "sagittarius", "capricorn", "aquarius", "pisces",
+	} {
+		if s == key {
+			return i
+		}
+	}
+	return 0
+}
+
+func planetBullets(chart natal.Chart) []string {
+	out := make([]string, 0, 6)
+	for _, key := range []string{"mercury", "venus", "mars", "jupiter", "saturn"} {
+		for _, p := range chart.Planets {
+			if p.Key == key {
+				out = append(out, fmt.Sprintf("%s在%s第%d宫", p.Title, p.Sign, p.House))
+				break
+			}
+		}
+	}
+	return out
+}
+
+func signCard(key, title string, b natal.Body, teaser string, keywords []string) map[string]any {
+	ks := keywords
+	if len(ks) > 3 {
+		ks = ks[:3]
+	}
+	return map[string]any{
+		"key": key, "title": title, "label": b.Sign,
+		"element": b.Element, "modality": b.Modality,
+		"teaser": teaser, "keywords": ks,
+	}
+}
+
+func section(title, body string, bullets []string) map[string]any {
+	return map[string]any{"title": title, "body": body, "bullets": bullets}
+}
+
+func min(a, b int) int {
+	if a < b {
+		return a
+	}
+	return b
+}
+
+// SignLabels returns sun/moon/rise labels (uses natal engine).
+func SignLabels(birth time.Time, birthTime *string) (sun, moon, rise string) {
+	return SignLabelsPlace(birth, birthTime, nil)
+}
+
+// SignLabelsPlace includes birth place for rising accuracy.
+func SignLabelsPlace(birth time.Time, birthTime, place *string) (sun, moon, rise string) {
+	c, err := natal.Compute(birth, birthTime, place)
+	if err != nil {
+		return "", "", ""
+	}
+	return c.Sun.Sign, c.Moon.Sign, c.Rise.Sign
+}
+
+// NatalChart exposes chart for relation/synastry.
+func NatalChart(birth time.Time, birthTime, place *string) (natal.Chart, error) {
+	return natal.Compute(birth, birthTime, place)
+}