### 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 (name == StringName()) {
		
		name = p_child->get_class();
	}
	const Node *const *existing = data.children.getptr(name);
	if (!existing || *existing == p_child) { 
		return;
	}
	
	String name_string = name;
	String nums;
	for (int i = name_string.length() - 1; i >= 0; i--) {
		char32_t n = name_string[i];
		if (is_digit(n)) {
			nums = String::chr(name_string[i]) + nums;
		} else {
			break;
		}
	}
	String nnsep = _get_name_num_separator();
	int name_last_index = name_string.length() - nnsep.length() - nums.length();
	
	if (nums.length() > 0 && name_string.substr(name_last_index, nnsep.length()) == nnsep) {