### 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<ExportArchitecture> all_archs = _get_supported_architectures();
	Vector<String> enabled_archs;
	for (int i = 0; i < all_archs.size(); ++i) {
		bool is_enabled = p_preset->get("architectures/" + all_archs[i].name);
		if (is_enabled) {
			enabled_archs.push_back(all_archs[i].name);
		}
	}
	return enabled_archs;
}
Error EditorExportPlatformIOS::_export_ios_plugins(const Ref<EditorExportPreset> &p_preset, IOSConfigData &p_config_data, const String &dest_dir, Vector<IOSExportAsset> &r_exported_assets, bool p_debug) {
	String plugin_definition_cpp_code;
	String plugin_initialization_cpp_code;
	String plugin_deinitialization_cpp_code;
	Vector<String> plugin_linked_dependencies;
	Vector<String> plugin_embedded_dependencies;
	Vector<String> plugin_files;
	Vector<PluginConfigIOS> enabled_plugins = get_enabled_plugins(p_preset);
	Vector<String> added_linked_dependenciy_names;
	Vector<String> added_embedded_dependenciy_names;
	HashMap<String, String> plist_values;
	HashSet<String> plugin_linker_flags;
	Error err;
	for (int i = 0; i < enabled_plugins.size(); i++) {