Changing the color of an accessory, visible for everyone?

I have this script that will, on the click of an ImageButton, change the color of an accessory they're wearing into white. Although the color change will only be available for the player and not anyone else. How could I make it so everyone can see that the accessory has turned white?

local variable = script.Parent
local p = game:GetService("Players").LocalPlayer

variable.MouseButton1Click:Connect(function()
    if p.Character then
        for _,v in next,p.Character:GetChildren() do
            if v.Name == "Accessory" then
                v.Part.Mesh.VertexColor = Vector3.new(1, 1, 1)
            end
        end
    end
end)