At this point you shouldn't try anything else. Oxidation strips copper from the base (it has to come from somewhere for the reaction to occur), and you can't get that shine back. Any more attempts will only be detrimental; if you really want the shine back, replace the whole block.
In the future, use 1:2 diluted hydrochloric acid to clean oxide off. It will NOT eat at copper metal, but it will eat away that brown/black crap left behind.
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