### 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)

#include "node.h"
#include "core/config/project_settings.h"
#include "core/core_string_names.h"
#include "core/io/resource_loader.h"
#include "core/object/message_queue.h"
#include "core/object/script_language.h"
#include "core/string/print_string.h"
#include "instance_placeholder.h"
#include "scene/animation/tween.h"
#include "scene/debugger/scene_debugger.h"
#include "scene/main/multiplayer_api.h"
#include "scene/main/window.h"
#include "scene/resources/packed_scene.h"
#include "scene/scene_string_names.h"
#include "viewport.h"
#include <stdint.h>
int Node::orphan_node_count = 0;
thread_local Node *Node::current_process_thread_group = nullptr;
void Node::_notification(int p_notification) {