Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
Increase the Levels of all "F.A." monsters on the field by 2 during the Main Phase and Battle Phase. Your opponent cannot target "F.A." monsters you control with card effects. If this face-up card on the field is destroyed by a card effect: You can add 1 "F.A." card from your Deck to your hand, except "F.A. City Grand Prix". You can only use this effect of "F.A. City Grand Prix" once per turn.
--Ｆ．Ａ．シティＧＰ
--F.A. City Grand Prix
local s,id=GetID()
function s.initial_effect(c)
	--Activate
	local e1=Effect.CreateEffect(c)
	e1:SetType(EFFECT_TYPE_ACTIVATE)
	e1:SetCode(EVENT_FREE_CHAIN)
	c:RegisterEffect(e1)
	--lv up
	local e2=Effect.CreateEffect(c)
	e2:SetType(EFFECT_TYPE_FIELD)
	e2:SetCode(EFFECT_UPDATE_LEVEL)
	e2:SetRange(LOCATION_FZONE)
	e2:SetTargetRange(LOCATION_MZONE,LOCATION_MZONE)
	e2:SetTarget(aux.TargetBoolFunction(Card.IsSetCard,SET_FA))
	e2:SetValue(2)
	e2:SetCondition(s.lvcon)
	c:RegisterEffect(e2)
	--cannot be target
	local e3=Effect.CreateEffect(c)
	e3:SetType(EFFECT_TYPE_FIELD)
	e3:SetCode(EFFECT_CANNOT_BE_EFFECT_TARGET)
	e3:SetRange(LOCATION_FZONE)
	e3:SetProperty(EFFECT_FLAG_IGNORE_IMMUNE)
	e3:SetTargetRange(LOCATION_MZONE,0)
	e3:SetTarget(aux.TargetBoolFunction(Card.IsSetCard,SET_FA))
	e3:SetValue(aux.tgoval)
	c:RegisterEffect(e3)
	--to hand
	local e4=Effect.CreateEffect(c)
	e4:SetCategory(CATEGORY_TOHAND+CATEGORY_SEARCH)
	e4:SetType(EFFECT_TYPE_SINGLE+EFFECT_TYPE_TRIGGER_O)
	e4:SetCode(EVENT_DESTROYED)
	e4:SetProperty(EFFECT_FLAG_DELAY)
	e4:SetCountLimit(1,id)
	e4:SetCondition(s.thcon)
	e4:SetTarget(s.thtg)
	e4:SetOperation(s.thop)
	c:RegisterEffect(e4)
end
s.listed_series={SET_FA}
s.listed_names={id}
function s.lvcon(e)
	return Duel.IsMainPhase() or Duel.IsBattlePhase()
end
function s.thcon(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	return c:IsReason(REASON_EFFECT) and c:IsPreviousLocation(LOCATION_ONFIELD) and c:IsPreviousPosition(POS_FACEUP)
end
function s.thfilter(c)
	return c:IsSetCard(SET_FA) and not c:IsCode(id) and c:IsAbleToHand()
end
function s.thtg(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.IsExistingMatchingCard(s.thfilter,tp,LOCATION_DECK,0,1,nil) end
	Duel.SetOperationInfo(0,CATEGORY_TOHAND,nil,1,tp,LOCATION_DECK)
end
function s.thop(e,tp,eg,ep,ev,re,r,rp)
	Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_ATOHAND)
	local g=Duel.SelectMatchingCard(tp,s.thfilter,tp,LOCATION_DECK,0,1,1,nil)
	if #g>0 then
		Duel.SendtoHand(g,nil,REASON_EFFECT)
		Duel.ConfirmCards(1-tp,g)
	end
end