### 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
case Variant::ARRAY: {
				Array varray = obj->get(E.name);
				int len = varray.size();
				for (int i = 0; i < len; i++) {
					const Variant &v = varray.get(i);
					Ref<Resource> res = v;
					if (_find_and_save_resource(res, processed, flags)) {
						ret_changed = true;
					}
				}
			} break;
			case Variant::DICTIONARY: {
				Dictionary d = obj->get(E.name);
				List<Variant> keys;
				d.get_key_list(&keys);
				for (const Variant &F : keys) {
					Variant v = d[F];
					Ref<Resource> res = v;
					if (_find_and_save_resource(res, processed, flags)) {
						ret_changed = true;
					}
				}
			} break;
			default: {
			}
		}
	}
	return ret_changed;
}
void EditorNode::_save_edited_subresources(Node *scene, HashMap<Ref<Resource>, bool> &processed, int32_t flags) {