When a player rejoins, the mouse is reset. Fixes?

I have a localscript in startergui that changes the mouse icon that works, but when the player rejoins it's auto reset to the default mouse. I tried using game.Players.PlayerAdded:Connect, but that failed. Nothing in the output, etc.

Attempt #1 (works):

    local mouse = game.Players.LocalPlayer:GetMouse()
    mouse.Icon = "rbxassetid://1386173173"

Attempt #2 (failed):

game.Players.PlayerAdded:Connect(function()
    local mouse = game.Players.LocalPlayer:GetMouse()
    mouse.Icon = "rbxassetid://1386173173"
end)