A galvanic cell operates under standard conditions at \(298\text{ K}\) according to the following balanced equation:

\[\text{Zn}(s) + \text{Cu}^{2+}(aq) \rightarrow \text{Zn}^{2+}(aq) + \text{Cu}(s)\]

Standard reduction potentials for the relevant half-reactions are provided in the table below.

Half-reaction	\(E^\circ\text{ (V)}\)
\(\text{Cu}^{2+}(aq) + 2\,e^- \rightarrow \text{Cu}(s)\)	\(+0.34\)
\(\text{Zn}^{2+}(aq) + 2\,e^- \rightarrow \text{Zn}(s)\)	\(-0.76\)

What is the value of the standard Gibbs free energy change, \(\Delta G^\circ\), for the reaction? (Faraday's constant \(F = 96{,}500\text{ J}/(\text{V}\cdot\text{mol } e^-)\))