### 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
text = TTR("Functions:");
					} else if (animation->track_get_type(track) == Animation::TYPE_AUDIO) {
						text = TTR("Audio Clips:");
					} else if (animation->track_get_type(track) == Animation::TYPE_ANIMATION) {
						text = TTR("Animation Clips:");
					} else {
						text += anim_path.get_concatenated_subnames();
					}
					text_color.a *= 0.7;
				} else if (node) {
					Ref<Texture2D> icon = EditorNode::get_singleton()->get_object_icon(node, "Node");
					draw_texture(icon, Point2(ofs, int(get_size().height - icon->get_height()) / 2));
					icon_cache = icon;
					text = String() + node->get_name() + ":" + anim_path.get_concatenated_subnames();
					ofs += hsep;
					ofs += icon->get_width();
				} else {
					icon_cache = key_type_icon;
					text = anim_path;
				}
				path_cache = text;
				path_rect = Rect2(ofs, 0, limit - ofs - hsep, get_size().height);
				Vector2 string_pos = Point2(ofs, (get_size().height - font->get_height(font_size)) / 2 + font->get_ascent(font_size));
				string_pos = string_pos.floor();
				draw_string(font, string_pos, text, HORIZONTAL_ALIGNMENT_LEFT, limit - ofs - hsep, font_size, text_color);
				draw_line(Point2(limit, 0), Point2(limit, get_size().height), linecolor, Math::round(EDSCALE));
			}
			
			draw_bg(limit, get_size().width - timeline->get_buttons_width());
			{