Fix hidden root navigation and browser fill matching

internal/api/server.go

@@ -1027,12 +1027,28 @@ func normalizedBrowserHost(raw string) (string, error) {
 	return host, nil
 }
 
-func classifyBrowserEntryMatch(pageHost, rawEntryURL string) (string, int) {
-	parsed, err := url.Parse(strings.TrimSpace(rawEntryURL))
-	if err != nil {
-		return "", 0
+func normalizedBrowserEntryHost(raw string) string {
+	raw = strings.TrimSpace(raw)
+	if raw == "" {
+		return ""
 	}
-	entryHost := strings.ToLower(parsed.Hostname())
+	parsed, err := url.Parse(raw)
+	if err == nil {
+		if host := strings.ToLower(parsed.Hostname()); host != "" {
+			return host
+		}
+	}
+	if !strings.Contains(raw, "://") {
+		parsed, err = url.Parse("https://" + raw)
+		if err == nil {
+			return strings.ToLower(parsed.Hostname())
+		}
+	}
+	return ""
+}
+
+func classifyBrowserEntryMatch(pageHost, rawEntryURL string) (string, int) {
+	entryHost := normalizedBrowserEntryHost(rawEntryURL)
 	if entryHost == "" {
 		return "", 0
 	}