A solution is 0.1 M in Cl$^-$ and 0.001 M in CrO$_4^{2-}$. Solid AgNO$_3$ is gradually added. Assuming no change in volume: $K_{sp}(\text{AgCl}) = 1.7 \times 10^{-10}$ M$^2$ and $K_{sp}(\text{Ag}_2\text{CrO}_4) = 1.9 \times 10^{-12}$ M$^3$. Select the correct statement: