Swing で新しいタブを追加した後、JTabbedPane のルック アンド フィールを動的に更新するにはどうすればよいですか?

import javax.swing.*;
import javax.swing.UIManager.LookAndFeelInfo;
import java.awt.event.ActionEvent;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;

public class JTabbedPaneLookAndFeelUpdate {

    public static void main(String[] args) {
        SwingUtilities.invokeLater(() -> {
            JFrame frame = new JFrame();
            frame.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);

            JTabbedPane tabbedPane = new JTabbedPane();
            tabbedPane.addTab("Tab 1", new JPanel());

            frame.add(createToolbar(tabbedPane), BorderLayout.NORTH);
            frame.add(tabbedPane, BorderLayout.CENTER);

            frame.pack();
            frame.setLocationRelativeTo(null);
            frame.setVisible(true);
        });
    }

    private static JToolBar createToolbar(JTabbedPane tabbedPane) {
        List<LookAndFeelInfo> availableLooks = new ArrayList<>(Arrays.asList(UIManager.getInstalledLookAndFeels()));
        JComboBox<LookAndFeelInfo> lookAndFeelComboBox = new JComboBox<>(availableLooks.toArray(new LookAndFeelInfo[0]));
        lookAndFeelComboBox.addActionListener(e -> {
            try {
                LookAndFeelInfo selectedLookAndFeel = (LookAndFeelInfo) e.getSource();
                UIManager.setLookAndFeel(selectedLookAndFeel.getClassName());
                SwingUtilities.updateComponentTreeUI(tabbedPane);
            } catch (Exception ex) {
                ex.printStackTrace();
            }
        });

        JToolBar toolbar = new JToolBar();
        toolbar.add(new JLabel("Look and Feel:"));
        toolbar.add(lookAndFeelComboBox);
        return toolbar;
    }
}