Bridge Clearance - Demopolis to Mobile

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I realize that the Mobile River level below Demopolis will vary, but I'm trying to determine if, with mostly typical water levels, all bridges below Demopolis can be cleared at 66+ ft of air draft. I've been told by the marina at Demopolis that all bridges are typically well above 70 feet, but when I look at the chart data, I see conflicting information. Anyone with first-hand experience?