Do not add an extra copper supplement if you are taking alpha lipoic acid, which increases copper inside the body. I'm not sure about zinc however.

I know you're taking DMSA, but there is a risk of copper excessive copper with ALA. Also the combination of copper and mercury toxicity is far worse than just mercury apparently.

It is probably much safer to simply get enough food that naturally contains some of these elements, rather than supplement them if you're not certain of what effects they may have. Copper is a difficult one, especially when you're taking ALA.