A student constructs the galvanic cell shown in the diagram, operating at \(298\text{ K}\) under standard conditions according to the following balanced equation:

\[ \text{Ni}(s) + 2\,\text{Ag}^+(aq) \rightarrow \text{Ni}^{2+}(aq) + 2\,\text{Ag}(s) \quad E^\circ_{\text{cell}} = +1.06\text{ V} \]

The student then adds a few drops of concentrated \(\text{NaCl}(aq)\) to the cathode compartment, causing the immediate formation of a white precipitate of \(\text{AgCl}(s)\) while the total solution volume remains virtually unchanged. Which of the following best predicts and explains the effect of this addition on the cell potential, \(E_{\text{cell}}\)?