### 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
_update_key_edit();
		} break;
		case EDIT_OPTIMIZE_ANIMATION: {
			optimize_dialog->popup_centered(Size2(250, 180) * EDSCALE);
		} break;
		case EDIT_OPTIMIZE_ANIMATION_CONFIRM: {
			animation->optimize(optimize_velocity_error->get_value(), optimize_angular_error->get_value(), optimize_precision_error->get_value());
			_redraw_tracks();
			_update_key_edit();
			EditorUndoRedoManager *undo_redo = EditorUndoRedoManager::get_singleton();
			undo_redo->clear_history(true, undo_redo->get_history_id_for_object(animation.ptr()));
			undo_redo->clear_history(true, undo_redo->get_history_id_for_object(this));
		} break;
		case EDIT_CLEAN_UP_ANIMATION: {
			cleanup_dialog->popup_centered(Size2(300, 0) * EDSCALE);
		} break;
		case EDIT_CLEAN_UP_ANIMATION_CONFIRM: {
			if (cleanup_all->is_pressed()) {
				List<StringName> names;
				AnimationPlayerEditor::get_singleton()->get_player()->get_animation_list(&names);
				for (const StringName &E : names) {
					_cleanup_animation(AnimationPlayerEditor::get_singleton()->get_player()->get_animation(E));
				}
			} else {
				_cleanup_animation(animation);
			}
		} break;
	}
}
void AnimationTrackEditor::_cleanup_animation(Ref<Animation> p_animation) {