I always thought the method of getting rid of the gholam was out, he melts weaves that touch him, how can he pass through a gateway?

But after some thinking I realized there is precedent. Mat can travel through gateways with his Foxhead on, which has the same effect as the gholam, so the gholam must also be able to pass through gateways.

I see it now, but was disappointed when it happened, thinking Sanderson changed the rules.