### 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<PluginConfigAndroid> loaded_plugins;
	String plugins_dir = ProjectSettings::get_singleton()->get_resource_path().path_join("android/plugins");
	
	loaded_plugins.append_array(PluginConfigAndroid::get_prebuilt_plugins(plugins_dir));
	if (DirAccess::exists(plugins_dir)) {
		Vector<String> plugins_filenames = list_gdap_files(plugins_dir);
		if (!plugins_filenames.is_empty()) {
			Ref<ConfigFile> config_file = memnew(ConfigFile);
			for (int i = 0; i < plugins_filenames.size(); i++) {
				PluginConfigAndroid config = PluginConfigAndroid::load_plugin_config(config_file, plugins_dir.path_join(plugins_filenames[i]));
				if (config.valid_config) {
					loaded_plugins.push_back(config);
				} else {
					print_error("Invalid plugin config file " + plugins_filenames[i]);
				}
			}
		}
	}
	return loaded_plugins;
}
Vector<PluginConfigAndroid> EditorExportPlatformAndroid::get_enabled_plugins(const Ref<EditorExportPreset> &p_presets) {