bug: menu button cannot find menu if menu is moved in DOM
### Prerequisites

- [X] I have read the [Contributing Guidelines](https://github.com/ionic-team/ionic-framework/blob/main/.github/CONTRIBUTING.md#creating-an-issue).
- [X] I agree to follow the [Code of Conduct](https://ionicframework.com/code-of-conduct).
- [X] I have searched for [existing issues](https://github.com/ionic-team/ionic-framework/issues) that already report this problem, without success.

### Ionic Framework Version

v7.x

### Current Behavior

`ion-menu-button` not showing anymore

### Expected Behavior

`ion-menu-button` show display

### Steps to Reproduce

upgrade from `7.2.4` to `7.3.0`

### Code Reproduction URL

_No response_

### Ionic Info

```
Ionic:

   Ionic CLI                     : 7.1.1 
   Ionic Framework               : @ionic/angular 7.3.0
   @angular-devkit/build-angular : 15.2.9
   @angular-devkit/schematics    : 15.2.9
   @angular/cli                  : 15.2.9
   @ionic/angular-toolkit        : 9.0.0

Capacitor:

   Capacitor CLI      : 5.2.3
   @capacitor/android : 5.2.3
   @capacitor/core    : 5.2.3
   @capacitor/ios     : 5.2.3

Utility:

   cordova-res : 0.15.4
   native-run  : 1.7.2

System:

   NodeJS : v16.14.0
   npm    : 8.3.1
   OS     : macOS Unknown
```

### Additional Information

_No response_

## Relevant pre-fix discussion

### Issue #28030

#### Comment at 2023-08-20T15:06:58Z

Hello,

I have upgraded my ionic framework to 7.3.0 and the component ion-menu-button is showed as you can see in the screenshot below:
![ion-menu-button](assets/ionic-team__ionic-framework-28049/001.png)

Could you please provide more information to reproduce the issue ?

Thank you.

#### Comment at 2023-08-21T17:14:59Z

@Abdelhafid01 I'm struggling to reproduce the issue on a new project and the images below are probably not very helpful but something definitely changed

v7.2.4
![7 2 4](assets/ionic-team__ionic-framework-28049/002.gif)


v7.3.0
![7 3 0](assets/ionic-team__ionic-framework-28049/003.gif)


But I noticed something on 7.3.0, if I navigate back and forth again on the browser, the icon reappears. something I can't do on iOS, and because the button to navigate back is on the ion-menu 
![7 3 0 -](assets/ionic-team__ionic-framework-28049/004.gif)

Sorry if this is not very helpful