### Godot version

v4.1.dev.custom_build [18112ba36]

### System information

Linux Mint 21.1, NVIDIA GeForce GTX 1050 Ti,  Vulkan API 1.3.205

### Issue description

This is a regression from #64388. 

Textures seem to be used differently in 2D and 3D. They are rendered using the `RID` in 3D, and changing the `viewport_path` will cause the `RID` to change.

https://github.com/godotengine/godot/assets/30386067/ad393fe8-50c1-4a89-870d-58d4e224bcc6


### Steps to reproduce

1. Download and import MRP.
2. Open 1.tscn, and try to switch the `viewport_path` of the `MeshInstance3D:mesh:material:albedo_texture` in the MeshInstance3D node.
3. After switching, the MeshInstance3D is rendered as white in the editor;
4. Close and then reopen 1.tscn.

### Minimal reproduction project

[ViewportTexture-change-viewport_path.zip](https://github.com/godotengine/godot/files/11509010/ViewportTexture-change-viewport_path.zip)

Transform3D object_transform = p_object->get_global_transform();
	Transform3D camera_transform = p_camera->get_global_transform();
	ObjectID id = p_object->get_instance_id();
	
	if (object_transform == physics_last_object_transform && camera_transform == physics_last_camera_transform && physics_last_id == id) {
		Ref<InputEventMouseMotion> mm = p_input_event;
		if (mm.is_valid() && mm->get_device() == InputEvent::DEVICE_ID_INTERNAL) {
			return; 
		}
	}
	p_object->_input_event_call(camera_3d, p_input_event, p_pos, p_normal, p_shape);
	physics_last_object_transform = object_transform;
	physics_last_camera_transform = camera_transform;
	physics_last_id = id;
}
Camera3D *Viewport::get_camera_3d() const {