### Godot version

Godot 4-beta10

### System information

Linux, KDE Neon, OpenGL3, Mesa Intel(R) UHD Graphics (CML GT2)

### Issue description

I can't move to Animation player when I open a AnimatedSprite

See the video:
https://youtu.be/_nyN42rNlTw


### Steps to reproduce

- Open Scene GPlayer
- Select Idle (Animation player) node
- Select Body (Animation sprite) node
- Select animation in bottom tab

### Minimal reproduction project

You can test in my game is open source and don't have many files 👍🏻 

[the-zero-day.zip](https://github.com/godotengine/godot/files/10304677/the-zero-day.zip)

ep->update_property();
				ep->_update_pin_flags();
				ep->update_editor_property_status();
				ep->update_cache();
				if (current_selected && ep->property == current_selected) {
					ep->select(current_focusable);
				}
			}
		}
	}
	if (!hide_metadata && !object->call("_hide_metadata_from_inspector")) {
		
		Control *spacer = memnew(Control);
		spacer->set_custom_minimum_size(Size2(0, 4) * EDSCALE);
		main_vbox->add_child(spacer);
		Button *add_md = EditorInspector::create_inspector_action_button(TTR("Add Metadata"));
		add_md->set_icon(get_theme_icon(SNAME("Add"), SNAME("EditorIcons")));
		add_md->connect(SNAME("pressed"), callable_mp(this, &EditorInspector::_show_add_meta_dialog));
		main_vbox->add_child(add_md);
		if (all_read_only) {
			add_md->set_disabled(true);
		}
	}
	
	for (Ref<EditorInspectorPlugin> &ped : valid_plugins) {
		ped->parse_end(object);
		_parse_added_editors(main_vbox, nullptr, ped);
	}
}
void EditorInspector::update_tree() {