Made a "died" script to detect a player's death, only works once?

The following code should print "died!" when a player dies:

game.Players.PlayerAdded:Connect(function(client)
	repeat wait()
		
	until client.Character ~= nil and client.dead ~= nil
	
	client.Character.Humanoid.Died:Connect(function()
		client.dead.Value = true
		print("died!")
		print()
	end)
end)

The problem is that "died!" does print when the player dies, but won't print if they die again, meaning it didn't detect their deaths after the 1st one. Anyone know the problem? Also, is there a better way to detect when players die?