### 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_MAIN_THREAD_GUARD;
	if (camera_3d_override) {
		camera_3d_override.transform = p_transform;
		RenderingServer::get_singleton()->camera_set_transform(camera_3d_override.rid, p_transform);
	}
}
Transform3D Viewport::get_camera_3d_override_transform() const {
	ERR_READ_THREAD_GUARD_V(Transform3D());
	if (camera_3d_override) {
		return camera_3d_override.transform;
	}
	return Transform3D();
}
Ref<World3D> Viewport::get_world_3d() const {
	ERR_READ_THREAD_GUARD_V(Ref<World3D>());
	return world_3d;
}
Ref<World3D> Viewport::find_world_3d() const {
	ERR_READ_THREAD_GUARD_V(Ref<World3D>());
	if (own_world_3d.is_valid()) {
		return own_world_3d;
	} else if (world_3d.is_valid()) {
		return world_3d;
	} else if (parent) {
		return parent->find_world_3d();
	} else {
		return Ref<World3D>();
	}
}
void Viewport::set_world_3d(const Ref<World3D> &p_world_3d) {