My local script won't stop running even if I disconnect, how?

For some reason, this local script will keep running even when it's not suppose to. I tried using a variable to make it stop running, I also tried disconnecting the function as well. I've been having this problem for a long time now, and I'm getting real desperate, so I'm putting a lot of context, just to find out what the real problem is. The local script is parented to StarterPlayerScripts.

I'll only just show a simple example of what this local script pretty much look like:

UIS.InputBegan:Connect(function(Input)
	if Input.KeyCode == Enum.KeyCode.Z then
		game.ReplicatedStorage.MouseFacing:Fire(true)
	end
	UIS.InputEnded:Connect(function(Input)
		if Input.KeyCode == Enum.KeyCode.Z then
			game.ReplicatedStorage.MouseFacing:Fire(false)
		end
	end)
end)

Local Script

local conn
conn = game.ReplicatedStorage.MouseFacing.Event:Connect(function(run)
	local player = game.Players.LocalPlayer
	local character = player.Character
	local cam = game.Workspace.CurrentCamera
	local equipped = false
	local tor = character.HumanoidRootPart
	local hum = character.Humanoid
	local Mouse = player:GetMouse()
	local prev_mousehit
	local move
	move = Mouse.Move:Connect(function()
		if not run then
			move:Disconnect()
			return 
		end
		if (cam.Focus.Position-cam.CoordinateFrame.Position).magnitude > 1 then
			hum.AutoRotate = false
			if Mouse.Hit.Position ~= prev_mousehit then
				prev_mousehit = Mouse.Hit.Position
				tor.CFrame = CFrame.new(tor.Position, Vector3.new(Mouse.Hit.Position.x,Mouse.Hit.Position.y,Mouse.Hit.Position.z))
				print("why is it working") -- even when the variable "run" is set to false, it still would print this.
			end
		else
			hum.AutoRotate = true
		end	
	end)
end)

Btw, I tried disconnecting conn, but it doesn't fix the problem for some reason and it won't let me run the script again when I want it to.