Why does this character loading script only work for the first player in the server?

Hey! I'm working on a custom character morphing system and although the following script works perfectly for the first player to enter a server, every other player that follows cannot load their character. I wonder if it's a deceptively simple problem and could really use some advice.

game.Players.CharacterAutoLoads = false

game.Players.PlayerAdded:connect(function(player)
	player.CharacterAdded:connect(function(character)
		local humanoid = character:FindFirstChild("Humanoid")
		if humanoid then
			humanoid.Died:connect(function()
				wait(4)
				player:LoadCharacter()
			end)
		end
	end)
	game.Lighting.StarterCharacter3.Parent = game.StarterPlayer
	game.StarterPlayer.StarterCharacter3.Name = 'StarterCharacter'
	player:LoadCharacter()
end)

You shouldn't use Lighting as a method of storage anymore and I'm guessing the script breaks altogether because you're setting the parent of StarterCharacter3 to something else, meaning that the second time someone joins, it won't be indexed and your code will break at like 13 and it won't execute the code at line 15, which loads the player's character.