### 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)

SceneTree *tree_changed_a = nullptr;
	SceneTree *tree_changed_b = nullptr;
	//ERR_FAIL_COND(p_scene && data.parent && !data.parent->data.scene); //nobug if both are null
	if (data.tree) {
		_propagate_exit_tree();
		tree_changed_a = data.tree;
	}
	data.tree = p_tree;
	if (data.tree) {
		_propagate_enter_tree();
		if (!data.parent || data.parent->data.ready_notified) { // No parent (root) or parent ready
			_propagate_ready(); //reverse_notification(NOTIFICATION_READY);
		}
		tree_changed_b = data.tree;
	}
	if (tree_changed_a) {
		tree_changed_a->tree_changed();
	}
	if (tree_changed_b) {
		tree_changed_b->tree_changed();
	}
}
#ifdef DEBUG_ENABLED
static HashMap<ObjectID, List<String>> _print_orphan_nodes_map;
static void _print_orphan_nodes_routine(Object *p_obj) {