Cannot run hello world QML application because Qt6QuickControls2Basic.dll is missing

Using a hello world example (together with Python 3.9 or 3.12) like below

main.py:

import sys

from PySide6.QtGui import QGuiApplication
from PySide6.QtQml import QQmlApplicationEngine

app = QGuiApplication(sys.argv)

engine = QQmlApplicationEngine()
engine.quit.connect(app.quit)
engine.load('main.qml')

sys.exit(app.exec())

main.qml:

import QtQuick 2.15
import QtQuick.Controls 2.15

ApplicationWindow {
    visible: true
    width: 600
    height: 500
    title: "HelloApp"

    Text {
        anchors.centerIn: parent
        text: "Hello World"
        font.pixelSize: 24
    }

}

Steps:

1. pip install Pyside6==6.6.3
2. python main.py

Result:

> python main.py
QQmlApplicationEngine failed to load component
file:///C:/Users/User/hello/main.qml:2:1: module "QtQuick.Controls" version 6.6 cannot be imported because:
module "QtQuick.Controls.Windows" version 6.6 cannot be imported because:
Cannot load library C:\Users\User\hello\hello\lib\site-packages\PySide6\qml\QtQuick\Controls\Basic\qtquickcontrols2basicstyleplugin.dll: The specified module could not be found.

Debugging with loader snaps reveals that it cannot load that dll because it cannot find Qt6QuickControls2Basic.dll. Searching through the PySide6 folder in site-packages seems to confirm that this dll is in fact not there.