### 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)

property_selected = p_path;
	property_focusable = p_focusable;
	
	for (const KeyValue<StringName, List<EditorProperty *>> &F : editor_property_map) {
		if (F.key == property_selected) {
			continue;
		}
		for (EditorProperty *E : F.value) {
			if (E->is_selected()) {
				E->deselect();
			}
		}
	}
	emit_signal(SNAME("property_selected"), p_path);
}
void EditorInspector::_object_id_selected(const String &p_path, ObjectID p_id) {