Qt override widget shortcut (window shortcut)

I have a Qt app with several window shortcuts defined in a Qt Designer form action. The shortcuts works well until they are pressed while the focus is on a widget that handles the same combination (overriding my window shortcut).

I would like to have the opposite behavior: window shortcuts overriding focused widget shortcuts.

I tried using eventFilter and I can catch the desired events, but I'm not able to resend them in a way that the global shortcuts are called. I could use a big switch and call the actions myself, but of course, I would like to avoid that.

I used postEvent and sendEvent inside the eventFilter using the MainWindow as the receiver, but the events are ignored:

bool MainWindow::eventFilter(QObject*, QEvent* event) {
    if (event->type() == QEvent::KeyPress) {
        QKeyEvent* keyEvent = static_cast<QKeyEvent*>(event);
        if (keyEvent->key() == Qt::Key_Z
            && keyEvent->modifiers() == Qt::ControlModifier) {
            //Calling the triggers directly works
            ui->actionUndo->trigger();
            return true;
        } else if (keyEvent->modifiers().testFlag(
                       Qt::KeypadModifier)) {
            QKeyEvent* ev2
                = new QKeyEvent(keyEvent->type(), keyEvent->key(), 0);
            qDebug() << keyEvent << ev2;
            //This sendEvent doesn't work
            QApplication::sendEvent(ui->widget, ev2);
            event->accept();
            return true;
        } else {
            return false;
        }
    }
    return false;
}