Fix modal overflow and search timeout warning

backend/services/gemini.go

@@ -97,6 +97,36 @@ func (g *GeminiService) ExpandQuery(query string) ([]string, error) {
 	return expanded, nil
 }
 
+func (g *GeminiService) TranslateSummaryToKorean(text string) (string, error) {
+	trimmed := strings.TrimSpace(text)
+	if trimmed == "" {
+		return "", nil
+	}
+	cacheKey := "summary-ko\n" + trimmed
+	if cached, ok := g.getCachedTranslation(cacheKey); ok {
+		g.debug("gemini:summary_translate_cache_hit", map[string]any{"length": len(trimmed)})
+		return cached, nil
+	}
+	if !looksMostlyASCII(trimmed) {
+		g.setCachedTranslation(cacheKey, trimmed, 15*time.Minute)
+		return trimmed, nil
+	}
+
+	g.debug("gemini:summary_translate_attempt", map[string]any{"length": len(trimmed)})
+	translated, err := g.translateViaGoogleToTarget(trimmed, "ko")
+	if err != nil {
+		g.debug("gemini:summary_translate_error", map[string]any{"length": len(trimmed), "error": err.Error()})
+		return "", err
+	}
+	translated = strings.TrimSpace(translated)
+	if translated == "" {
+		return "", fmt.Errorf("google translate summary returned empty translation")
+	}
+	g.debug("gemini:summary_translate_success", map[string]any{"length": len(trimmed)})
+	g.setCachedTranslation(cacheKey, translated, 15*time.Minute)
+	return translated, nil
+}
+
 func (g *GeminiService) TranslateQuery(query string) string {
 	trimmed := strings.TrimSpace(query)
 	if trimmed == "" {
@@ -784,11 +814,19 @@ func isOvercompressedTranslation(original, translated string) bool {
 }
 
 func (g *GeminiService) translateViaGoogle(query string) (string, error) {
+	return g.translateViaGoogleToTarget(query, "en")
+}
+
+func (g *GeminiService) translateViaGoogleToTarget(query, targetLanguage string) (string, error) {
 	baseURL := g.TranslateEndpoint
 	if strings.TrimSpace(baseURL) == "" {
 		baseURL = "https://translate.googleapis.com/translate_a/single"
 	}
-	endpoint := baseURL + "?client=gtx&sl=auto&tl=en&dt=t&q=" + neturl.QueryEscape(query)
+	targetLanguage = strings.TrimSpace(targetLanguage)
+	if targetLanguage == "" {
+		targetLanguage = "en"
+	}
+	endpoint := baseURL + "?client=gtx&sl=auto&tl=" + neturl.QueryEscape(targetLanguage) + "&dt=t&q=" + neturl.QueryEscape(query)
 	resp, err := g.Client.Get(endpoint)
 	if err != nil {
 		return "", err