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If $G$ is a skew brace, then $G$ corresponds to a Hopf Galois structure of type $(G, \\star)$ on any Galois extension of fields with Galois group isomorphic to $(G, \\circ)$. If $G$ is a bi-skew brace, then $G$ also corresponds to a Hopf Galois structure of type $(G, \\circ)$ on a Galois extension of fields with Galois group isomorphic to $(G, \\star)$. Many non-trivial examples exist. 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