### Godot version

4.0.stable

### System information

Windows 10, Forward+, GTX 1070 driver 528.49

### Issue description

When trying to edit the handle mode of a bezier cruve key from the inspector tab, the mode doesn't change. It works fine when right clicking on the key and setting the handle mode from here though. 

https://user-images.githubusercontent.com/24484962/222379540-29d71b6d-ff0c-4a21-9905-9750d0581fda.mp4



### Steps to reproduce

On an animation track using a bezier curve, select a key and try to change the handle mode from the inspector tab

### Minimal reproduction project

N/A
continue; 
				}
			}
		}
		if (animation->track_get_type(i) == Animation::TYPE_VALUE) {
			NodePath path = animation->track_get_path(i);
			if (root && root->has_node_and_resource(path)) {
				Ref<Resource> res;
				NodePath base_path;
				Vector<StringName> leftover_path;
				Node *node = root->get_node_and_resource(path, res, leftover_path, true);
				PropertyInfo pinfo = _find_hint_for_track(i, base_path);
				Object *object = node;
				if (res.is_valid()) {
					object = res.ptr();
				}
				if (object && !leftover_path.is_empty()) {
					if (pinfo.name.is_empty()) {
						pinfo.name = leftover_path[leftover_path.size() - 1];
					}
					for (int j = 0; j < track_edit_plugins.size(); j++) {
						track_edit = track_edit_plugins.write[j]->create_value_track_edit(object, pinfo.type, pinfo.name, pinfo.hint, pinfo.hint_string, pinfo.usage);
						if (track_edit) {
							break;
						}
					}
				}
			}
		}
		if (animation->track_get_type(i) == Animation::TYPE_AUDIO) {