### 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
ADD_SIGNAL(MethodInfo("timeline_changed", PropertyInfo(Variant::FLOAT, "position"), PropertyInfo(Variant::BOOL, "timeline_only")));
	ADD_SIGNAL(MethodInfo("remove_request", PropertyInfo(Variant::INT, "track")));
	ADD_SIGNAL(MethodInfo("dropped", PropertyInfo(Variant::INT, "from_track"), PropertyInfo(Variant::INT, "to_track")));
	ADD_SIGNAL(MethodInfo("insert_key", PropertyInfo(Variant::FLOAT, "offset")));
	ADD_SIGNAL(MethodInfo("select_key", PropertyInfo(Variant::INT, "index"), PropertyInfo(Variant::BOOL, "single")));
	ADD_SIGNAL(MethodInfo("deselect_key", PropertyInfo(Variant::INT, "index")));
	ADD_SIGNAL(MethodInfo("move_selection_begin"));
	ADD_SIGNAL(MethodInfo("move_selection", PropertyInfo(Variant::FLOAT, "offset")));
	ADD_SIGNAL(MethodInfo("move_selection_commit"));
	ADD_SIGNAL(MethodInfo("move_selection_cancel"));
	ADD_SIGNAL(MethodInfo("duplicate_request"));
	ADD_SIGNAL(MethodInfo("create_reset_request"));
	ADD_SIGNAL(MethodInfo("duplicate_transpose_request"));
	ADD_SIGNAL(MethodInfo("delete_request"));
}
AnimationTrackEdit::AnimationTrackEdit() {