### 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_owner() == p_owner) {
		set_owner(p_by_owner);
	}
	data.blocked++;
	for (KeyValue<StringName, Node *> &K : data.children) {
		K.value->_propagate_replace_owner(p_owner, p_by_owner);
	}
	data.blocked--;
}
Ref<Tween> Node::create_tween() {
	ERR_THREAD_GUARD_V(Ref<Tween>());
	ERR_FAIL_NULL_V_MSG(data.tree, nullptr, "Can't create Tween when not inside scene tree.");
	Ref<Tween> tween = get_tree()->create_tween();
	tween->bind_node(this);
	return tween;
}
void Node::set_scene_file_path(const String &p_scene_file_path) {
	ERR_THREAD_GUARD
	data.scene_file_path = p_scene_file_path;
}
String Node::get_scene_file_path() const {