### 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
String path = p_full_paths[E->get()];
				
				scene_name = scene_name.get_basename();
				if (path.begins_with("res:")) {
					path = path.substr(6);
				}
				path = path.get_basename();
				
				scene_name = scene_name.trim_suffix("/");
				path = path.trim_suffix("/");
				
				
				
				can_proceed = can_proceed || (path.size() - scene_name.size()) >= 1;
				E = E->next();
				if (to_erase) {
					iset.erase(to_erase);
				}
			}
			if (!can_proceed) {
				break;
			}
		}
	}
}
void EditorNode::_version_control_menu_option(int p_idx) {