Let \( G, O, D, I, \) and \( T \) be digits that satisfy the following equation:

\[
\begin{array}{cccc}
 & G & O & G & O \\
+ & D & I & D & I \\
\hline
G & O & D & O & T
\end{array}
\]

(Note that \( G \) and \( D \) cannot be \( 0 \), and that the five variables are not necessarily different.)

Compute the value of GODOT.

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