### 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
GDCLASS(AnimationTrackEditor, VBoxContainer);
	friend class AnimationTimelineEdit;
	Ref<Animation> animation;
	bool read_only = false;
	Node *root = nullptr;
	MenuButton *edit = nullptr;
	PanelContainer *main_panel = nullptr;
	HScrollBar *hscroll = nullptr;
	ScrollContainer *scroll = nullptr;
	VBoxContainer *track_vbox = nullptr;
	AnimationBezierTrackEdit *bezier_edit = nullptr;
	Label *info_message = nullptr;
	AnimationTimelineEdit *timeline = nullptr;
	HSlider *zoom = nullptr;
	EditorSpinSlider *step = nullptr;
	TextureRect *zoom_icon = nullptr;