### 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)

files_to_parse.insert("godot_ios/Launch Screen.storyboard");
	IOSConfigData config_data = {
		pkg_name,
		binary_name,
		_get_additional_plist_content(),
		String(" ").join(_get_preset_architectures(p_preset)),
		_get_linker_flags(),
		_get_cpp_code(),
		"",
		"",
		"",
		"",
		Vector<String>(),
		false
	};
	Vector<IOSExportAsset> assets;
	Ref<DirAccess> tmp_app_path = DirAccess::create_for_path(dest_dir);
	ERR_FAIL_COND_V(tmp_app_path.is_null(), ERR_CANT_CREATE);
	print_line("Unzipping...");
	Ref<FileAccess> io_fa;
	zlib_filefunc_def io = zipio_create_io(&io_fa);
	unzFile src_pkg_zip = unzOpen2(src_pkg_name.utf8().get_data(), &io);
	if (!src_pkg_zip) {
		add_message(EXPORT_MESSAGE_ERROR, TTR("Prepare Templates"), TTR("Could not open export template (not a zip file?): \"%s\".", src_pkg_name));
		return ERR_CANT_OPEN;
	}
	err = _export_ios_plugins(p_preset, config_data, dest_dir + binary_name, assets, p_debug);
	ERR_FAIL_COND_V(err, err);
	
	int ret = unzGoToFirstFile(src_pkg_zip);