Popup is not closed when MouseArea on ToolTip is pressed

import QtQuick 2.15
import QtQuick.Window 2.15
import QtQuick.Controls 2.12
import QtQuick.Layouts 1.15

Window {
    width: 640
    height: 480
    visible: true
    title: qsTr("Hello World")

    Button {
        id: button
        text: "First, click me"
        onClicked: {
            popup.open()
            tooltip.open()
        }
        
        Popup {
            id: popup
            x: parent.width
            y: parent.height
            closePolicy: Popup.CloseOnPressOutside
            background: Rectangle {
                color: "steelblue"
            }
            contentItem: Text {
                text: "I am a popup!"
            }
        }
    }

    Text {
        x: 10
        y: 100
        text: "Now Hover me"
        MouseArea {
            // If this MouseArea is removed, then everything works??
            anchors.fill: parent
            hoverEnabled: true
        }
        ToolTip {
            id: tooltip
            x: 0
            y: 0
            closePolicy: Popup.NoAutoClose
            background: Rectangle {
                color: "grey"
            }
            contentItem: Text {
                text: "I am a tooltip, click me"
                MouseArea {
                    id: popupMouseArea
                    anchors.fill: parent
                    onClicked: {
                        popup2.open()
                    }
                }
            }
        }
    }

    Popup {
        id: popup2
        y: 75
        background: Rectangle {
            color: "peachpuff"
        }
        contentItem: Text {
            text: "Why didn't the original popup close because of 'PressOnOutside'?"
        }
    }
}