### 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
_load_docks_from_config(config, editor_layouts->get_item_text(p_id));
			_save_editor_layout();
		}
	}
}
void EditorNode::_proceed_closing_scene_tabs() {
	List<String>::Element *E = tabs_to_close.front();
	if (!E) {
		if (_is_closing_editor()) {
			current_menu_option = tab_closing_menu_option;
			_menu_option_confirm(tab_closing_menu_option, true);
		} else {
			current_menu_option = -1;
			save_confirmation->hide();
		}
		return;
	}
	String scene_to_close = E->get();
	tabs_to_close.pop_front();
	int tab_idx = -1;
	for (int i = 0; i < editor_data.get_edited_scene_count(); i++) {
		if (editor_data.get_scene_path(i) == scene_to_close) {
			tab_idx = i;
			break;
		}
	}
	ERR_FAIL_COND(tab_idx < 0);
	_scene_tab_closed(tab_idx);
}
bool EditorNode::_is_closing_editor() const {