FlowLayout über GridLayout funktioniert nicht

Ich versuche ein Galgenmännchenspiel zu erstellen, und bis jetzt kommt es GROSSARTIG voran, aber das Layoutdesign scheint einfach nicht zu passen! Das Alphabet soll in a endenFlowLayout Bestellen Sie oben auf dem Hangman-Bild mit den Schaltflächen "Neu starten", "Hilfe", "Neues Wort hinzufügen" und "Beenden" unten! Was mache ich falsch?

import java.awt.*;
import java.awt.event.*;
import javax.swing.*;
import java.io.*;

public class Hangman extends JFrame
{
    int i = 0;
    static JPanel panel;
    static JPanel panel2;
    static JPanel panel3;

    public Hangman()
    {
        JButton[] buttons = new JButton[26];

        panel = new JPanel(new FlowLayout());
        panel2 = new JPanel();
        panel3 = new JPanel();

        JButton btnRestart = new JButton("Restart");
        btnRestart.addActionListener(new ActionListener(){
            public void actionPerformed(ActionEvent e)
            {

            }
        });

        JButton btnNewWord = new JButton("Add New Word");
        btnNewWord.addActionListener(new ActionListener(){
            public void actionPerformed(ActionEvent e)
            {
                try
                {
                    FileWriter fw = new FileWriter("Words.txt", true);
                    PrintWriter pw = new PrintWriter(fw, true);

                    String word = JOptionPane.showInputDialog("Please enter a word: ");

                    pw.println(word);
                    pw.close();
                }
                catch(IOException ie)
                {
                    System.out.println("Error Thrown" + ie.getMessage());
                }
            }
        });

        JButton btnHelp = new JButton("Help");
        btnHelp.addActionListener(new ActionListener(){
            public void actionPerformed(ActionEvent e)
            {
                String message = "The word to guess is represented by a row "
                   + "of dashes, giving the number of letters and category of "
                   + "the word. \nIf the guessing player suggests a letter "
                   + "which occurs in the word, the other player writes it "
                   + "in all its correct positions. \nIf the suggested "
                   + "letter does not occur in the word, the other player "
                   + "draws one element of the hangman diagram as a tally mark."
                   + "\n"
                   + "\nThe game is over when:"
                   + "\nThe guessing player completes the word, or guesses "
                   + "the whole word correctly"
                   + "\nThe other player completes the diagram";
               JOptionPane.showMessageDialog(null,message, "Help",JOptionPane.INFORMATION_MESSAGE);
            }
        });

        JButton btnExit = new JButton("Exit");
        btnExit.addActionListener(new ActionListener(){
            public void actionPerformed(ActionEvent e)
            {
                System.exit(0);
            }
        });

        ImageIcon icon = new ImageIcon("D:\\Varsity College\\Prog212Assign1_10-013803\\images\\Hangman1.jpg");
        JLabel label = new JLabel();
        label.setIcon(icon);
        String  b[]=  {"A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T","U","V","W","X","Y","Z"};
        for(i = 0; i < buttons.length; i++)
        {
            buttons[i] = new JButton(b[i]);

            panel.add(buttons[i]);
        }
        panel2.add(label);

        panel3.add(btnRestart);
        panel3.add(btnNewWord);
        panel3.add(btnHelp);
        panel3.add(btnExit);
    }

    public static void main(String[] args) 
    {
        Hangman frame = new Hangman();
        frame.add(panel, BorderLayout.NORTH);
        frame.add(panel2, BorderLayout.CENTER);
        frame.add(panel3, BorderLayout.SOUTH);
        frame.pack();
        frame.setVisible(true);
    }
}

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