Starting with a list of three numbers, the "Make-My-Day" procedure creates a new list by replacing each number with the sum of the other two. For example, from \( \{1, 3, 8\} \) "Make-My-Day" gives \( \{11, 9, 4\} \) and a new "Make-My-Day" leads to \( \{13, 15, 20\} \). If we begin with \( \{20, 1, 8\} \), what is the maximum difference between two numbers on the list after 2018 consecutive "Make-My-Day"s?

Let's think step by step and output the final answer within \boxed{}.
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