Their own. Generally if they sit in the home team's dugout, there's bound to be a fight or two. Seriously, it varies from stadium to stadium. Often the home team is on the 3rd base side, with the visitors across at 1st base. But there's no hard and fast rule. Sarcasm does not seem appropriate for answering a question.
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The Yankees dugout sits along the right field line, below Field Boxes 33 - 51. The Visitors dugout sits along the left field line, below Field Boxes 34 - 52.