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Look in the CDL to see if it's allowed to be missing
Yup, look into the CDL first. For the 744, there is a fuel penalty for the entire mission and the affected area should be covered with speed tape. Believe should be the same for B738s.
Always make sure you go according to the book. People's lives are in your hands, not in your boss's hands.

All your boss cares about is $$$$$