Fix modal overflow and search timeout warning

backend/services/gemini_test.go

@@ -41,6 +41,35 @@ func TestTranslateQueryFallsBackToDictionaryWhenTranslateFails(t *testing.T) {
 	}
 }
 
+func TestTranslateSummaryToKoreanUsesGoogleAndCaches(t *testing.T) {
+	requests := 0
+	server := httptest.NewServer(http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+		requests++
+		w.Header().Set("Content-Type", "application/json")
+		_, _ = w.Write([]byte(`[[["도시에서 웃는 커플","smiling couple in city",null,null,1]],null,"en"]`))
+	}))
+	defer server.Close()
+
+	service := NewGeminiService("")
+	service.Client = &http.Client{Timeout: 2 * time.Second}
+	service.TranslateEndpoint = server.URL
+
+	first, err := service.TranslateSummaryToKorean("smiling couple in city")
+	if err != nil {
+		t.Fatalf("expected translation to succeed, got error: %v", err)
+	}
+	second, err := service.TranslateSummaryToKorean("smiling couple in city")
+	if err != nil {
+		t.Fatalf("expected cached translation to succeed, got error: %v", err)
+	}
+	if first != "도시에서 웃는 커플" || second != first {
+		t.Fatalf("unexpected translated summary values: %q %q", first, second)
+	}
+	if requests != 1 {
+		t.Fatalf("expected one upstream translation request due to cache, got %d", requests)
+	}
+}
+
 func TestNormalizeKnownMediaPhrases(t *testing.T) {
 	translated := translateKoreanMediaTerms("사이버 펑크 도시")
 	if translated != "cyberpunk city" {