### 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_FAIL_COND_MSG(data.blocked > 0, "Parent node is busy setting up children, `move_child()` failed. Consider using `move_child.call_deferred(child, index)` instead (or `popup.call_deferred()` if this is from a popup).");
	
	
	if (!p_ignore_end) { 
		if (p_child->data.internal_mode == INTERNAL_MODE_FRONT) {
			if (p_index == data.internal_children_front_count_cache) {
				p_index--;
			}
		} else if (p_child->data.internal_mode == INTERNAL_MODE_BACK) {
			if (p_index == (int)data.children_cache.size()) {
				p_index--;
			}
		} else {
			if (p_index == (int)data.children_cache.size() - data.internal_children_back_count_cache) {
				p_index--;
			}
		}
	}
	int child_index = p_child->get_index();
	if (child_index == p_index) {
		return; 
	}
	int motion_from = MIN(p_index, child_index);
	int motion_to = MAX(p_index, child_index);
	data.children_cache.remove_at(child_index);
	data.children_cache.insert(p_index, p_child);
	if (data.tree) {
		data.tree->tree_changed();