Expert help: "The Moor has done his duty. The Moor can go." Where does the expression come from?

In German it sounds: "Der Mohr hat seine Schuldigkeit getan. Der Mohr kann gehen". And it seems to be from Friedrich Schiller's play "Fiesco". Can anyone tell me please if this phrase is some sort of reminiscence from or has something to do with Shakespeare's Othello?
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