The Captain says:"Oh common, lets just go, we are find with the dry tables." What do you do if the Captain insists departing with dry tables?
I would remind him that my name is not "common" but "Bob" and lend him a tea towel - sorry couldn't resist that one!
Has the runway been declared as Wet by the appropriate agency? If it's starting to rain the runway may still be substantially dry or just damp?
Perhaps you could ask the Captain his reasoning for using dry versus wet data in this case?