AgCl is a sparingly soluble salt in water which is dissociates according to the reaction:
AgCl ⇄ Ag⁺ + Cl⁻.
Adding NaCl, KCl, BaCl₂, and AgNO₃ will shift the equilibrium to the left according to Le Chatelier's principle that the presence of these salts will increase the concentration of Cl⁻ (NaCl, KCl, BaCl₂) or increase the concentration of Ag⁺ (AgNO₃), so the reaction is shifted towards the reactants side decreasing the solubility of AgCl.
So, the greatest solubility of AgCl will be in pure water.