### 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
#include "animation_track_editor.h"
#include "animation_track_editor_plugins.h"
#include "core/error/error_macros.h"
#include "core/input/input.h"
#include "editor/animation_bezier_editor.h"
#include "editor/editor_node.h"
#include "editor/editor_scale.h"
#include "editor/editor_settings.h"
#include "editor/editor_string_names.h"
#include "editor/editor_undo_redo_manager.h"
#include "editor/gui/editor_spin_slider.h"
#include "editor/gui/scene_tree_editor.h"
#include "editor/inspector_dock.h"
#include "editor/plugins/animation_player_editor_plugin.h"
#include "scene/animation/animation_player.h"
#include "scene/animation/tween.h"
#include "scene/gui/check_box.h"
#include "scene/gui/grid_container.h"
#include "scene/gui/option_button.h"
#include "scene/gui/panel_container.h"
#include "scene/gui/separator.h"
#include "scene/gui/slider.h"
#include "scene/gui/spin_box.h"
#include "scene/gui/texture_rect.h"
#include "scene/gui/view_panner.h"
#include "scene/main/window.h"
#include "scene/scene_string_names.h"
#include "servers/audio/audio_stream.h"
void AnimationTrackKeyEdit::_bind_methods() {