The EOs Have It

Logic Level 2

\[ \large{\begin{array}{ccc} && & {\color{blue}E} & {\color{green}O} \\ && & & {\color{orange}O}\\ + && & & {\color{purple}O}\\ \hline & & & E & {\color{red}O}\\ \end{array}} \]

The \(E\) positions in the cryptogram above indicate even digits and the \(O\) positions indicate odd digits. No digit is repeated. While there is not a unique way to fill in the cryptogram, the red \(\color{red}O\) in the sum's result can only be one particular value. What is it?

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