### 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)

String res = s;
	bool carry = res.length() > 0;
	for (int i = res.length() - 1; i >= 0; i--) {
		if (!carry) {
			break;
		}
		char32_t n = s[i];
		if (n == '9') { 
			res[i] = '0';
		} else {
			res[i] = s[i] + 1;
			carry = false;
		}
	}
	if (carry) {
		res = "1" + res;
	}
	return res;
}
void Node::_generate_serial_child_name(const Node *p_child, StringName &name) const {