Step 1: The complex \( K[\text{Ag(CN)}_2] \) is used in silver plating because \( \text{Ag}^+ \) is more stable in the complex ion than as a free ion.
Step 2: The use of \( [\text{Ag(CN)}_2]^- \) ensures that \( \text{Ag}^+ \) ions are available in a controlled form, and copper cannot displace \( \text{Ag}^+ \) from this complex.
Final Answer:
\[
\boxed{\text{less availability of } \text{Ag}^+ \text{ ions, as Cu cannot displace Ag from } [\text{Ag(CN)}_2]^- \text{ ion}}
\]