### 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)

ERR_READ_THREAD_GUARD_V(nullptr);
	return camera_3d;
}
void Viewport::_camera_3d_transform_changed_notify() {
}
void Viewport::_camera_3d_set(Camera3D *p_camera) {
	if (camera_3d == p_camera) {
		return;
	}
	if (camera_3d) {
		camera_3d->notification(Camera3D::NOTIFICATION_LOST_CURRENT);
	}
	camera_3d = p_camera;
	if (!camera_3d_override) {
		if (camera_3d) {
			RenderingServer::get_singleton()->viewport_attach_camera(viewport, camera_3d->get_camera());
		} else {
			RenderingServer::get_singleton()->viewport_attach_camera(viewport, RID());
		}
	}
	if (camera_3d) {
		camera_3d->notification(Camera3D::NOTIFICATION_BECAME_CURRENT);
	}
	_update_audio_listener_3d();
	_camera_3d_transform_changed_notify();
}
bool Viewport::_camera_3d_add(Camera3D *p_camera) {