How to save the current state of graphics on JPanel

I have a program that allows a user to add rectangles and circles to JPanel using Graphics. What I want to do is save the current state of the current JPanel (i.e., all the shapes and their locations) to a file and be able to load this file and restore this state. I have a Shapes class that extends JPanel and does the entire drawing and traces shapes using an ArrayList.

Can I just save the state of the panel? Or do I just need to save the Shapes data to a file and redraw the shapes when the file is β€œopen”?

Can someone direct me on how I can save the current state of my JPanel and reopen it? Thanks

public class UMLEditor {

    public static void main(String[] args) {

        JFrame frame = new UMLWindow();
        frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        frame.setBounds(30, 30, 1000, 700);
        frame.getContentPane().setBackground(Color.white);
        frame.setVisible(true);
        frame.setLocationRelativeTo(null);
        frame.setVisible(true);

    }
}

class UMLWindow extends JFrame {
    Shapes shapeList = new Shapes();

    public UMLWindow() {
        addMenus();
    }

    public void addMenus() {

        getContentPane().add(shapeList);

        JMenuBar menubar = new JMenuBar();
        JMenu file = new JMenu("File");
        JMenuItem openMenuItem = new JMenuItem("Open File");
        openMenuItem.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent event) {
                // Open saved state
        });

        JMenuItem saveMenuItem = new JMenuItem("Save");
        saveMenuItem.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent event) {
                // Save current state
            }
        });

        file.add(openMenuItem);
        file.add(saveMenuItem);

        JMenu shapes = new JMenu("Shapes");
        file.setMnemonic(KeyEvent.VK_F);

        JMenuItem rectangleMenuItem = new JMenuItem("New Rectangle");
        rectangleMenuItem.addActionListener(new ActionListener() {
            @Override
            public void actionPerformed(ActionEvent event) {
                shapeList.addSquare(100, 100);
            }
        });

        JMenuItem circleMenuItem = new JMenuItem("New Circle");
        circleMenuItem.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent event) {
                shapeList.addCircle(100, 100);
            }
        });

        shapes.add(rectangleMenuItem);
        shapes.add(circleMenuItem);

        menubar.add(file);
        menubar.add(shapes);

        setJMenuBar(menubar);

        setSize(300, 200);
        setLocationRelativeTo(null);
        setDefaultCloseOperation(EXIT_ON_CLOSE);
    }

}

// Shapes class, used to draw the shapes on the panel
// as well as implements the MouseListener for dragging
class Shapes extends JPanel {
    private static final long serialVersionUID = 1L;

    private List<Path2D> shapes = new ArrayList<Path2D>();
    int currentIndex;

    public Shapes() {
        MyMouseAdapter myMouseAdapter = new MyMouseAdapter();
        addMouseListener(myMouseAdapter);
        addMouseMotionListener(myMouseAdapter);
    }

    public void addSquare(int width, int height) {
        Path2D rect2 = new Path2D.Double();
        rect2.append(new Rectangle(getWidth() / 2 - width / 2, getHeight() / 2
                - height / 2, width, height), true);

        shapes.add(rect2);
        repaint();

    }

    public void addCircle(int width, int height) {
        Path2D rect2 = new Path2D.Double();
        rect2.append(new Ellipse2D.Double(getWidth() / 2 - width / 2,
                getHeight() / 2 - height / 2, width, height), true);

        shapes.add(rect2);
        repaint();
    }

    @Override
    protected void paintComponent(Graphics g) {
        super.paintComponent(g);
        this.setOpaque(true);
        this.setBackground(Color.WHITE);
        Graphics2D g2 = (Graphics2D) g;
        for (Path2D rect : shapes) {
            g2.draw(rect);
        }
    }

    class MyMouseAdapter extends MouseAdapter {
        private boolean pressed = false;
        private Point point;

        @Override
        public void mousePressed(MouseEvent e) {
            if (e.getButton() != MouseEvent.BUTTON1) {
                return;
            }
            for (int i = 0; i < shapes.size(); i++) {
                if (shapes.get(i) != null
                        && shapes.get(i).contains(e.getPoint())) {
                    currentIndex = i;
                    pressed = true;
                    this.point = e.getPoint();
                }
            }
        }

        @Override
        public void mouseDragged(MouseEvent e) {
            if (pressed) {
                int deltaX = e.getX() - point.x;
                int deltaY = e.getY() - point.y;
                shapes.get(currentIndex).transform(
                        AffineTransform.getTranslateInstance(deltaX, deltaY));
                point = e.getPoint();
                repaint();
            }
        }

        @Override
        public void mouseReleased(MouseEvent e) {
            pressed = false;
        }
    }
}
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