### 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)

BIND_CONSTANT(NOTIFICATION_ENABLED);
	BIND_CONSTANT(NOTIFICATION_EDITOR_PRE_SAVE);
	BIND_CONSTANT(NOTIFICATION_EDITOR_POST_SAVE);
	BIND_CONSTANT(NOTIFICATION_WM_MOUSE_ENTER);
	BIND_CONSTANT(NOTIFICATION_WM_MOUSE_EXIT);
	BIND_CONSTANT(NOTIFICATION_WM_WINDOW_FOCUS_IN);
	BIND_CONSTANT(NOTIFICATION_WM_WINDOW_FOCUS_OUT);
	BIND_CONSTANT(NOTIFICATION_WM_CLOSE_REQUEST);
	BIND_CONSTANT(NOTIFICATION_WM_GO_BACK_REQUEST);
	BIND_CONSTANT(NOTIFICATION_WM_SIZE_CHANGED);
	BIND_CONSTANT(NOTIFICATION_WM_DPI_CHANGE);
	BIND_CONSTANT(NOTIFICATION_VP_MOUSE_ENTER);
	BIND_CONSTANT(NOTIFICATION_VP_MOUSE_EXIT);
	BIND_CONSTANT(NOTIFICATION_OS_MEMORY_WARNING);
	BIND_CONSTANT(NOTIFICATION_TRANSLATION_CHANGED);
	BIND_CONSTANT(NOTIFICATION_WM_ABOUT);
	BIND_CONSTANT(NOTIFICATION_CRASH);
	BIND_CONSTANT(NOTIFICATION_OS_IME_UPDATE);
	BIND_CONSTANT(NOTIFICATION_APPLICATION_RESUMED);
	BIND_CONSTANT(NOTIFICATION_APPLICATION_PAUSED);
	BIND_CONSTANT(NOTIFICATION_APPLICATION_FOCUS_IN);
	BIND_CONSTANT(NOTIFICATION_APPLICATION_FOCUS_OUT);
	BIND_CONSTANT(NOTIFICATION_TEXT_SERVER_CHANGED);
	BIND_ENUM_CONSTANT(PROCESS_MODE_INHERIT);
	BIND_ENUM_CONSTANT(PROCESS_MODE_PAUSABLE);
	BIND_ENUM_CONSTANT(PROCESS_MODE_WHEN_PAUSED);
	BIND_ENUM_CONSTANT(PROCESS_MODE_ALWAYS);
	BIND_ENUM_CONSTANT(PROCESS_MODE_DISABLED);
	BIND_ENUM_CONSTANT(PROCESS_THREAD_GROUP_INHERIT);
	BIND_ENUM_CONSTANT(PROCESS_THREAD_GROUP_MAIN_THREAD);