### 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
return play_position_pos;
}
void AnimationTimelineEdit::update_play_position() {
	play_position->queue_redraw();
}
void AnimationTimelineEdit::update_values() {
	if (!animation.is_valid() || editing) {
		return;
	}
	editing = true;
	if (use_fps && animation->get_step() > 0) {
		length->set_value(animation->get_length() / animation->get_step());
		length->set_step(1);
		length->set_tooltip_text(TTR("Animation length (frames)"));
		time_icon->set_tooltip_text(TTR("Animation length (frames)"));
		if (track_edit) {
			track_edit->editor->_update_key_edit();
		}
	} else {
		length->set_value(animation->get_length());
		length->set_step(0.0001);
		length->set_tooltip_text(TTR("Animation length (seconds)"));
		time_icon->set_tooltip_text(TTR("Animation length (seconds)"));
	}
	switch (animation->get_loop_mode()) {
		case Animation::LOOP_NONE: {
			loop->set_icon(get_editor_theme_icon(SNAME("Loop")));
			loop->set_pressed(false);
		} break;