### 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)

}
	ClassDB::bind_method(D_METHOD("set_deferred_thread_group", "property", "value"), &Node::set_deferred_thread_group);
	ClassDB::bind_method(D_METHOD("notify_deferred_thread_group", "what"), &Node::notify_deferred_thread_group);
	{
		MethodInfo mi;
		mi.name = "call_thread_safe";
		mi.arguments.push_back(PropertyInfo(Variant::STRING_NAME, "method"));
		ClassDB::bind_vararg_method(METHOD_FLAGS_DEFAULT, "call_thread_safe", &Node::_call_thread_safe_bind, mi, varray(), false);
	}
	ClassDB::bind_method(D_METHOD("set_thread_safe", "property", "value"), &Node::set_thread_safe);
	ClassDB::bind_method(D_METHOD("notify_thread_safe", "what"), &Node::notify_thread_safe);
	BIND_CONSTANT(NOTIFICATION_ENTER_TREE);
	BIND_CONSTANT(NOTIFICATION_EXIT_TREE);
	BIND_CONSTANT(NOTIFICATION_MOVED_IN_PARENT);
	BIND_CONSTANT(NOTIFICATION_READY);
	BIND_CONSTANT(NOTIFICATION_PAUSED);
	BIND_CONSTANT(NOTIFICATION_UNPAUSED);
	BIND_CONSTANT(NOTIFICATION_PHYSICS_PROCESS);
	BIND_CONSTANT(NOTIFICATION_PROCESS);
	BIND_CONSTANT(NOTIFICATION_PARENTED);
	BIND_CONSTANT(NOTIFICATION_UNPARENTED);
	BIND_CONSTANT(NOTIFICATION_SCENE_INSTANTIATED);
	BIND_CONSTANT(NOTIFICATION_DRAG_BEGIN);
	BIND_CONSTANT(NOTIFICATION_DRAG_END);
	BIND_CONSTANT(NOTIFICATION_PATH_RENAMED);
	BIND_CONSTANT(NOTIFICATION_CHILD_ORDER_CHANGED);
	BIND_CONSTANT(NOTIFICATION_INTERNAL_PROCESS);
	BIND_CONSTANT(NOTIFICATION_INTERNAL_PHYSICS_PROCESS);
	BIND_CONSTANT(NOTIFICATION_POST_ENTER_TREE);
	BIND_CONSTANT(NOTIFICATION_DISABLED);