### 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
if (p_state.has("fps_mode")) {
		bool fps_mode = p_state["fps_mode"];
		if (fps_mode) {
			snap_mode->select(1);
		} else {
			snap_mode->select(0);
		}
		_snap_mode_changed(snap_mode->get_selected());
	} else {
		snap_mode->select(0);
		_snap_mode_changed(snap_mode->get_selected());
	}
	if (p_state.has("zoom")) {
		zoom->set_value(p_state["zoom"]);
	} else {
		zoom->set_value(1.0);
	}
	if (p_state.has("offset")) {
		timeline->set_value(p_state["offset"]);
	} else {
		timeline->set_value(0);
	}
	if (p_state.has("v_scroll")) {
		scroll->get_v_scroll_bar()->set_value(p_state["v_scroll"]);
	} else {
		scroll->get_v_scroll_bar()->set_value(0);
	}
}
void AnimationTrackEditor::cleanup() {