### 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
step->set_max(1000000);
	step->set_step(0.0001);
	step->set_hide_slider(true);
	step->set_custom_minimum_size(Size2(100, 0) * EDSCALE);
	step->set_tooltip_text(TTR("Animation step value."));
	bottom_hb->add_child(step);
	step->connect("value_changed", callable_mp(this, &AnimationTrackEditor::_update_step));
	step->set_read_only(true);
	snap_mode = memnew(OptionButton);
	snap_mode->add_item(TTR("Seconds"));
	snap_mode->add_item(TTR("FPS"));
	bottom_hb->add_child(snap_mode);
	snap_mode->connect("item_selected", callable_mp(this, &AnimationTrackEditor::_snap_mode_changed));
	snap_mode->set_disabled(true);
	bottom_hb->add_child(memnew(VSeparator));
	zoom_icon = memnew(TextureRect);
	zoom_icon->set_v_size_flags(SIZE_SHRINK_CENTER);
	bottom_hb->add_child(zoom_icon);
	zoom = memnew(HSlider);
	zoom->set_step(0.01);
	zoom->set_min(0.0);
	zoom->set_max(2.0);
	zoom->set_value(1.0);
	zoom->set_custom_minimum_size(Size2(200, 0) * EDSCALE);
	zoom->set_v_size_flags(SIZE_SHRINK_CENTER);
	bottom_hb->add_child(zoom);
	timeline->set_zoom(zoom);
	edit = memnew(MenuButton);
	edit->set_shortcut_context(this);
	edit->set_text(TTR("Edit"));