### Godot version

v4.2.dev.custom_build [0ca854232]

### System information

Pop Os 22.04 lts 12th Gen Intel® Core™ i7-12700H × 20 NVIDIA RTX A2000 8GB 32.0GB  ram

### Issue description

A node that has a script attached to it and it has a couple of child nodes (type of a child node doesn't matter). In the script you have an export variable of type Node. You save the scene into a file and you add it in level scene. When you start to duplicate that scene in the level and you'll hover over exported variable to show a node path, it will show an incorrect path. 


https://github.com/godotengine/godot/assets/33091666/75088d1b-c014-41e0-bae3-46610eccbad1



### Steps to reproduce

1. create a scene with a node and a child node.
2. attach a script to the parent node and create an export variable of type Node
3. assign child node to that exported variable through the editor
4. save the scene and create a level scene where you are going to add just saved scene.
5. _Possibly requires a reboot of the engine before seeing the bug_
6. start duplicating nodes in the level scene

### Minimal reproduction project

[NodeTest.zip](https://github.com/godotengine/godot/files/12781547/NodeTest.zip)

ERR_THREAD_GUARD;
	Object::set_meta(p_name, p_value);
}
void Node::remove_meta(const StringName &p_name) {
	ERR_THREAD_GUARD;
	Object::remove_meta(p_name);
}
Variant Node::get_meta(const StringName &p_name, const Variant &p_default) const {
	ERR_THREAD_GUARD_V(Variant());
	return Object::get_meta(p_name, p_default);
}
void Node::get_meta_list(List<StringName> *p_list) const {
	ERR_THREAD_GUARD;
	Object::get_meta_list(p_list);
}
Error Node::emit_signalp(const StringName &p_name, const Variant **p_args, int p_argcount) {
	ERR_THREAD_GUARD_V(ERR_INVALID_PARAMETER);
	return Object::emit_signalp(p_name, p_args, p_argcount);
}
bool Node::has_signal(const StringName &p_name) const {
	ERR_THREAD_GUARD_V(false);
	return Object::has_signal(p_name);
}
void Node::get_signal_list(List<MethodInfo> *p_signals) const {
	ERR_THREAD_GUARD;
	Object::get_signal_list(p_signals);
}
void Node::get_signal_connection_list(const StringName &p_signal, List<Connection> *p_connections) const {