### Tested versions

Godot Engine v4.2.stable.official.46dc27791

### System information

Windows 10

### Issue description

When exporting to web, Godot fails with this error in the console:

> scene/main/window.cpp:884 - Attempting to make child window exclusive, but the parent window already has another exclusive child. This window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->VBoxContainer@<!-- -->137/@<!-- -->AcceptDialog@<!-- -->411, parent window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559, current exclusive child window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->ProgressDialog@<!-- -->17444

![a](https://github.com/godotengine/godot/assets/2000051/bf9d22aa-d3fe-4e11-bff6-c387e740fe90)

This happens for newly created empty projects.


### Steps to reproduce

1. Open the attached project (or create a new project).
2. Project->Export->Export All
3. Observe the console error.  No output files are generated.


### Minimal reproduction project (MRP)

[export_test.zip](https://github.com/godotengine/godot/files/13574810/export_test.zip)

return "Android";
}
String EditorExportPlatformAndroid::get_os_name() const {
	return "Android";
}
Ref<Texture2D> EditorExportPlatformAndroid::get_logo() const {
	return logo;
}
bool EditorExportPlatformAndroid::should_update_export_options() {
#ifndef DISABLE_DEPRECATED
	if (android_plugins_changed.is_set()) {
		
		android_plugins_changed.clear();
		return true;
	}
#endif 
	return false;
}
bool EditorExportPlatformAndroid::poll_export() {
	bool dc = devices_changed.is_set();
	if (dc) {
		
		devices_changed.clear();
	}
	return dc;
}
int EditorExportPlatformAndroid::get_options_count() const {