Two fingers tap generates wrong mouse modifiers on M2 MacBooks

Tapping (not pressing) on Apple M2 MacBooks with two fingers on a trackpad generates wrong mouse modifiers (which are returned by MouseEvent.getModifiersEx).

Steps to reproduce
1. Enable System Preferences -> Trackpad -> Tap to click
2. Tap with two fingers in the following app:
import javax.swing.*;
import java.awt.event.MouseAdapter;
import java.awt.event.MouseEvent;

class MouseWindow {
    final JFrame frame;

    MouseWindow() {
        frame = new JFrame();
        frame.setDefaultCloseOperation(WindowConstants.EXIT_ON_CLOSE);

        frame.setTitle("Mouse window");

        frame.addMouseListener(new MouseAdapter() {
            @Override
            public void mousePressed(MouseEvent e) {
                System.out.println(e);
            }
        });

        frame.pack();

        frame.setSize(300, 300);

        frame.setVisible(true);
    }

    public static void main(String[] args) {
        SwingUtilities.invokeLater(MouseWindow::new);
    }
}

Expected

Printed mouse event has modifiersEx is 4096 (which is InputEvent.BUTTON3_DOWN_MASK)

Actual

Printed mouse event has modifiersEx is 4352 (which is InputEvent.BUTTON3_DOWN_MASK | InputEvent.META_DOWN_MASK)

The bug is 100% reproducible on M2 MacBooks (at least under macOS 12.5). It's also reproducible on M1 MacBooks, but much more rarely (about 10-15% of reproducibility).