### 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)

}
		}
	}
	if (get_name() != String()) {
		node->set_name(get_name());
	}
#ifdef TOOLS_ENABLED
	if ((p_flags & DUPLICATE_FROM_EDITOR) && r_duplimap) {
		r_duplimap->insert(this, node);
	}
#endif
	if (p_flags & DUPLICATE_GROUPS) {
		List<GroupInfo> gi;
		get_groups(&gi);
		for (const GroupInfo &E : gi) {
#ifdef TOOLS_ENABLED
			if ((p_flags & DUPLICATE_FROM_EDITOR) && !E.persistent) {
				continue;
			}
#endif
			node->add_to_group(E.name, E.persistent);
		}
	}
	for (int i = 0; i < get_child_count(); i++) {
		if (get_child(i)->data.parent_owned) {
			continue;
		}
		if (instantiated && get_child(i)->data.owner == this) {
			continue; //part of instance
		}