### 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)

assign->set_icon(Ref<Texture2D>());
		assign->set_text(p);
		return;
	}
	Node *target_node = base_node->get_node(p);
	ERR_FAIL_COND(!target_node);
	if (String(target_node->get_name()).contains("@")) {
		assign->set_icon(Ref<Texture2D>());
		assign->set_text(p);
		return;
	}
	assign->set_text(target_node->get_name());
	assign->set_icon(EditorNode::get_singleton()->get_object_icon(target_node, "Node"));
}
void EditorPropertyNodePath::setup(const NodePath &p_base_hint, Vector<StringName> p_valid_types, bool p_use_path_from_scene_root, bool p_pointer_mode) {
	pointer_mode = p_pointer_mode;
	base_hint = p_base_hint;
	valid_types = p_valid_types;
	use_path_from_scene_root = p_use_path_from_scene_root;
}
void EditorPropertyNodePath::_notification(int p_what) {
	switch (p_what) {
		case NOTIFICATION_ENTER_TREE:
		case NOTIFICATION_THEME_CHANGED: {
			Ref<Texture2D> t = get_theme_icon(SNAME("Clear"), SNAME("EditorIcons"));
			clear->set_icon(t);
		} break;
	}
}
void EditorPropertyNodePath::_bind_methods() {