### 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_V(0);
	_update_children_cache();
	if (p_include_internal) {
		return data.children_cache.size();
	} else {
		return data.children_cache.size() - data.internal_children_front_count_cache - data.internal_children_back_count_cache;
	}
}
Node *Node::get_child(int p_index, bool p_include_internal) const {
	ERR_THREAD_GUARD_V(nullptr);
	_update_children_cache();
	if (p_include_internal) {
		if (p_index < 0) {
			p_index += data.children_cache.size();
		}
		ERR_FAIL_INDEX_V(p_index, (int)data.children_cache.size(), nullptr);
		return data.children_cache[p_index];
	} else {
		if (p_index < 0) {
			p_index += (int)data.children_cache.size() - data.internal_children_front_count_cache - data.internal_children_back_count_cache;
		}
		ERR_FAIL_INDEX_V(p_index, (int)data.children_cache.size() - data.internal_children_front_count_cache - data.internal_children_back_count_cache, nullptr);
		p_index += data.internal_children_front_count_cache;
		return data.children_cache[p_index];
	}
}
TypedArray<Node> Node::get_children(bool p_include_internal) const {