### 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
editor = p_editor;
}
void AnimationTrackEdit::_play_position_draw() {
	if (!animation.is_valid() || play_position_pos < 0) {
		return;
	}
	float scale = timeline->get_zoom_scale();
	int h = get_size().height;
	int px = (-timeline->get_value() + play_position_pos) * scale + timeline->get_name_limit();
	if (px >= timeline->get_name_limit() && px < (get_size().width - timeline->get_buttons_width())) {
		Color color = get_theme_color(SNAME("accent_color"), EditorStringName(Editor));
		play_position->draw_line(Point2(px, 0), Point2(px, h), color, Math::round(2 * EDSCALE));
	}
}
void AnimationTrackEdit::set_play_position(float p_pos) {
	play_position_pos = p_pos;
	play_position->queue_redraw();
}
void AnimationTrackEdit::update_play_position() {
	play_position->queue_redraw();
}
void AnimationTrackEdit::set_root(Node *p_root) {
	root = p_root;
}
void AnimationTrackEdit::_zoom_changed() {
	queue_redraw();
	play_position->queue_redraw();
}
void AnimationTrackEdit::_path_submitted(const String &p_text) {