Step 1: Codons are sequences of three nucleotides in mRNA that specify amino acids.
Step 2: AUG is unique because it acts as a **start codon**—it signals the beginning of translation.
Step 3: In addition, AUG also codes for the amino acid **methionine**.
Step 4: No other codon has both roles—initiation and amino acid coding.
\[
\Rightarrow \text{Thus, the correct answer is } \boxed{\text{(A) AUG}}.
\]