In Ionic 7, how do I embed a hamburger menu in my header bar alongside other components?

I'm using Ionic 7 and React 18. I would like to design an Ionic hamburger menu for my application, taht I would like to reside in the upper right of my toolbar. I have designed this Menu.tsx component

const Menu: React.FC = () =>
{

  const onClickHandler = (): void =>
  {
    menuController.close();
  };

  return (
    <React.Fragment>
      <IonMenu
        side="start"
        menuId="first"
        content-id="menuContent"
        swipe-gesture={true}
        disabled={false}
        maxEdgeStart={100}
        hidden={false}
        type="overlay">
        <IonHeader translucent>
          <IonToolbar color="primary">
            <IonTitle>
              <IonIcon slot="start" icon={menuOutline}></IonIcon>
            </IonTitle>
            <IonButtons slot="start">
              <IonMenuButton
                autoHide={true}
                onClick={() => onClickHandler()}
              ></IonMenuButton>
            </IonButtons>
          </IonToolbar>
        </IonHeader>
        <IonContent>
          <IonList>
            <IonItem>Menu Item</IonItem>
            <IonItem>Menu Item</IonItem>
            <IonItem>Menu Item</IonItem>
            <IonItem>Menu Item</IonItem>
            <IonItem>Menu Item</IonItem>
          </IonList>
        </IonContent>
      </IonMenu>
    </React.Fragment>
  );
};

export default Menu;

and then I have put it on my App.tsx page in the IonHeader bar

          <IonHeader>
      <IonToolbar>
        <IonButtons slot='start'>
          <IonButton>
            <IonIcon icon={logoReact} />
          </IonButton>
        </IonButtons>
        <IonTitle>My site</IonTitle>
        <IonButtons slot='end'>
          <IonButton>
            <IonIcon icon={personCircle} />
          </IonButton>
        </IonButtons>
        <Menu/>
      </IonToolbar>
    </IonHeader>

However, this does not display, per my demo -- https://stackblitz.com/edit/an5yjh-vhnvgg?file=src%2Fcomponents%2FMenu.tsx,src%2FApp.tsx . What else do I need to do to get my hamburger menu to appear?

You were close, but some adjustments required to make it work:

1. add the <Menu/> element as a direct child of the <IonApp> element.
2. set the id of <IonContent> inside the App.tsx the same id in the menu element. so, menuContent This will enable dragging behaviour to open the drawer

Bonus: I also added the menu button in the toolbar, so users can open the menu with that button as well. Also make the IonPage element as root, so your layout works!

Updated StackBlitz

Menu.tsx:

...
      <IonMenu
        side="start" // this puts the toolbar on the left side for ltr locales
        menuId="first"
        content-id="menuContent" // you should also use the same id in App.
        swipe-gesture={true}
        disabled={false}
        maxEdgeStart={100}
        hidden={false}
        type="overlay">
    ...

App.tsx

...
export default function App() {
  return (
    <IonApp>
      <Menu />
      <IonPage>
      <IonHeader>
        <IonToolbar>
          <IonButtons slot="start">
            <IonMenuButton/>
          </IonButtons>
          <IonTitle>My site</IonTitle>
          <IonButtons slot="end">
            <IonButton>person</IonButton>
          </IonButtons>
        </IonToolbar>
      </IonHeader>
        <IonContent className="ion-padding" id="menuContent">
          <p>Hi there</p>
        </IonContent>
      </IonPage>
    </IonApp>
  );
}