Coding ZERO as CHUR, finding PLAYER

Analyze the letter shift mechanics connecting the input string to its encrypted output form: Z \rightarrow C: +3 positions (Z \rightarrow A \rightarrow B \rightarrow C) E \rightarrow H: +3 positions (E \rightarrow F \rightarrow G \rightarrow H) R \rightarrow U: +3 positions (R \rightarrow S \rightarrow T \rightarrow U) O \rightarrow R: +3 positions (O \rightarrow P \rightarrow Q \rightarrow R)

The transformation rule is a constant forward alphabetical shift of ⟨MATH⟩+3⟨/MATH⟩ items for each character. Apply this pattern uniformly to the target string `PLAYER`: P +3 \rightarrow S L +3 \rightarrow O A +3 \rightarrow D Y +3 \rightarrow B (Y \rightarrow Z \rightarrow A \rightarrow B) E +3 \rightarrow G R +3 \rightarrow T

Concatenating these outputs yields `SODBGT`.

Answer: (b).