I hve not yet heard of that game ,but it could happen.
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YES
no, the DSi does not have the game boy slot that the DS/DS lite have
Yes
You could play it on both. Any DS game can play on your DSi
DSI's and DS (Lite)'s use the same games, so if there's a Yu-Gi-Oh game for the DS, then you can play it on the DSI.