Style QToolButton set with QWidgetAction - PySide6

[tIk90wT]

I'm trying to style a QWidgetAction in a QToolBar and following is the minimal reproducible code:

li = [1, 2, 3, 4]


class extmenu(QWidget):
    def __init__(self):
        super(extmenu, self).__init__()

    def load(self):
        lay = QHBoxLayout()
        for i in li:
            b = QPushButton()
            b.setText(str(i))
            lay.addWidget(b)
        self.setLayout(lay)


class rtem(QWidget):
    def __init__(self):
        super(rtem, self).__init__()

        self.tb = QToolBar()

        self.but = QPushButton()
        self.but.setStyleSheet("background: red;")

        self.extmen = extmenu()
        self.extmen.load()

        self.men = QMenu()

        self.wid = QWidgetAction(self.but)
        self.wid.setText("wid")
        self.wid.setObjectName("wid")

        self.wid.setDefaultWidget(self.extmen)
        self.men.addAction(self.wid)
        self.wid.setMenu(self.men)

        self.act = QAction("act")
        self.act.setObjectName("act")

        self.tb.addAction(self.act)
        self.tb.addAction(self.wid)

        self.tb.setStyleSheet("QToolButton#wid{background: red;}")

        self.lay = QVBoxLayout()
        self.lay.addWidget(self.tb)
        self.setLayout(self.lay)

The setStyleSheet does not have any effect on neither "act" or "wid".

        self.tb.setStyleSheet("QToolButton{background: red;}")
        self.tb.setStyleSheet("QToolButton:checked{background: green;}")

The code above works.

Styling self.but obviously does not work.

How do I style the QWidgetAction? And why does stylesheet has no effect on individual QToolButtons?

Thank You.