### 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 (!animation->track_is_compressed(track) && (animation->track_get_type(track) == Animation::TYPE_VALUE || animation->track_get_type(track) == Animation::TYPE_BLEND_SHAPE || animation->track_get_type(track) == Animation::TYPE_POSITION_3D || animation->track_get_type(track) == Animation::TYPE_SCALE_3D || animation->track_get_type(track) == Animation::TYPE_ROTATION_3D)) {
						draw_texture(icon, loop_wrap_rect.position);
					}
					loop_wrap_rect.position.y = 0;
					loop_wrap_rect.size.y = get_size().height;
					ofs += icon->get_width() + hsep / 2;
					loop_wrap_rect.size.x += hsep / 2;
					if (!read_only && !animation->track_is_compressed(track) && (animation->track_get_type(track) == Animation::TYPE_VALUE || animation->track_get_type(track) == Animation::TYPE_BLEND_SHAPE || animation->track_get_type(track) == Animation::TYPE_POSITION_3D || animation->track_get_type(track) == Animation::TYPE_SCALE_3D || animation->track_get_type(track) == Animation::TYPE_ROTATION_3D)) {
						draw_texture(down_icon, Vector2(ofs, int(get_size().height - down_icon->get_height()) / 2));
						loop_wrap_rect.size.x += down_icon->get_width();
					} else {
						loop_wrap_rect = Rect2();
					}
					ofs += down_icon->get_width();
					draw_line(Point2(ofs + hsep * 0.5, 0), Point2(ofs + hsep * 0.5, get_size().height), linecolor, Math::round(EDSCALE));
					ofs += hsep;
				}
				{
					
					Ref<Texture2D> icon = get_editor_theme_icon(animation->track_is_compressed(track) ? SNAME("Lock") : SNAME("Remove"));
					remove_rect.position.x = ofs + ((get_size().width - ofs) - icon->get_width());
					remove_rect.position.y = int(get_size().height - icon->get_height()) / 2;
					remove_rect.size = icon->get_size();
					if (read_only) {
						draw_texture(icon, remove_rect.position, dc);
					} else {
						draw_texture(icon, remove_rect.position);
					}
				}
			}