### Tested versions

v4.2.stable.official [46dc27791]

### System information

Windows 11- Godot v4.2.stable.official [46dc27791] - Vulkan (Forward+)

### Issue description

When I switch picker mode the next time I open it should be the pick mode I selected last time but it's not

https://github.com/godotengine/godot/assets/46812028/522c8b55-14cf-4781-963f-a465a03c9432



### Steps to reproduce

Toggle a picker mode off and on again

### Minimal reproduction project (MRP)

N/A
switch (p_id) {
		case SETTINGS_LAYOUT_SAVE: {
			current_menu_option = p_id;
			layout_dialog->set_title(TTR("Save Layout"));
			layout_dialog->set_ok_button_text(TTR("Save"));
			layout_dialog->set_name_line_enabled(true);
			layout_dialog->popup_centered();
		} break;
		case SETTINGS_LAYOUT_DELETE: {
			current_menu_option = p_id;
			layout_dialog->set_title(TTR("Delete Layout"));
			layout_dialog->set_ok_button_text(TTR("Delete"));
			layout_dialog->set_name_line_enabled(false);
			layout_dialog->popup_centered();
		} break;
		case SETTINGS_LAYOUT_DEFAULT: {
			_load_docks_from_config(default_layout, "docks");
			_save_editor_layout();
		} break;
		default: {
			Ref<ConfigFile> config;
			config.instantiate();
			Error err = config->load(EditorSettings::get_singleton()->get_editor_layouts_config());
			if (err != OK) {
				return; 
			}