### 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)

Vector<String> names;
#ifndef DISABLE_DEPRECATED
	PluginConfigAndroid::get_plugins_names(get_enabled_plugins(p_preset), names);
#endif 
	Vector<Ref<EditorExportPlugin>> export_plugins = EditorExport::get_singleton()->get_export_plugins();
	for (int i = 0; i < export_plugins.size(); i++) {
		if (export_plugins[i]->supports_platform(Ref<EditorExportPlatform>(this))) {
			names.push_back(export_plugins[i]->get_name());
		}
	}
	String plugins_names = String("|").join(names);
	return plugins_names;
}
String EditorExportPlatformAndroid::_resolve_export_plugin_android_library_path(const String &p_android_library_path) const {
	String absolute_path;
	if (!p_android_library_path.is_empty()) {
		if (p_android_library_path.is_absolute_path()) {
			absolute_path = ProjectSettings::get_singleton()->globalize_path(p_android_library_path);
		} else {
			const String export_plugin_absolute_path = String("res://addons/").path_join(p_android_library_path);
			absolute_path = ProjectSettings::get_singleton()->globalize_path(export_plugin_absolute_path);
		}
	}
	return absolute_path;
}
bool EditorExportPlatformAndroid::_is_clean_build_required(const Ref<EditorExportPreset> &p_preset) {