### 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<Ref<EditorExportPlugin>> export_plugins = EditorExport::get_singleton()->get_export_plugins();
	for (int i = 0; i < export_plugins.size(); i++) {
		Vector<String> project_static_libs = export_plugins[i]->get_ios_project_static_libs();
		for (int j = 0; j < project_static_libs.size(); j++) {
			const String &static_lib_path = project_static_libs[j];
			String dest_lib_file_path = dest_dir + static_lib_path.get_file();
			Error lib_copy_err = tmp_app_path->copy(static_lib_path, dest_lib_file_path);
			if (lib_copy_err != OK) {
				ERR_PRINT("Can't copy '" + static_lib_path + "'.");
				return lib_copy_err;
			}
		}
	}
	String iconset_dir = dest_dir + binary_name + "/Images.xcassets/AppIcon.appiconset/";
	err = OK;
	if (!tmp_app_path->dir_exists(iconset_dir)) {
		err = tmp_app_path->make_dir_recursive(iconset_dir);
	}
	if (err) {
		return err;
	}
	err = _export_icons(p_preset, iconset_dir);
	if (err) {
		return err;
	}
	{