### 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
	data.multiplayer_authority = p_peer_id;
	if (p_recursive) {
		for (KeyValue<StringName, Node *> &K : data.children) {
			K.value->set_multiplayer_authority(p_peer_id, true);
		}
	}
}
int Node::get_multiplayer_authority() const {
	return data.multiplayer_authority;
}
bool Node::is_multiplayer_authority() const {
	ERR_FAIL_COND_V(!is_inside_tree(), false);
	Ref<MultiplayerAPI> api = get_multiplayer();
	return api.is_valid() && (api->get_unique_id() == data.multiplayer_authority);
}
void Node::rpc_config(const StringName &p_method, const Variant &p_config) {
	ERR_THREAD_GUARD
	if (data.rpc_config.get_type() != Variant::DICTIONARY) {
		data.rpc_config = Dictionary();
	}
	Dictionary node_config = data.rpc_config;
	if (p_config.get_type() == Variant::NIL) {
		node_config.erase(p_method);
	} else {
		ERR_FAIL_COND(p_config.get_type() != Variant::DICTIONARY);
		node_config[p_method] = p_config;
	}
}
const Variant Node::get_node_rpc_config() const {