Error While Testing It using Server Client?

I am testing this hat GUI giver thing and it works perfectly fine in studio test, while I test it in server client though... It gives me this error and does not delete the hat off of the character while clicking the arrow:

attempt to index upvalue "character" (a nil value)

here is the line of code where the error is coming from:

local character = game.Players.LocalPlayer.Character
local hat = game.Players.LocalPlayer.Hat




hat.Changed:Connect(function()
	for i, v in pairs(character:GetChildren()) do
		if v.ClassName == "Hat" then
			v:Destroy()
		end
	end
end)