Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
If you control a "F.A." monster, this card cannot be destroyed by your opponent's card effects. When your "F.A." monster whose Level is at least 5 higher than its original Level battles an opponent's monster and inflicts battle damage to them: You can banish 1 card from your hand, field, or GY. You can only use this effect of "F.A. Winners" once per turn. If 3 of your "F.A." Field Spells with different names are currently banished, and were all banished by the effect of "F.A. Winners", you win the Duel. * The above text is unofficial and describes the card's functionality in the OCG.
--Ｆ．Ａ．フォーミュラアスリートウィナーズ
--F.A. Winners
--Scripted by Eerie Code
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)
	--indes
	local e2=Effect.CreateEffect(c)
	e2:SetType(EFFECT_TYPE_SINGLE)
	e2:SetCode(EFFECT_INDESTRUCTABLE_EFFECT)
	e2:SetProperty(EFFECT_FLAG_SINGLE_RANGE)
	e2:SetRange(LOCATION_SZONE)
	e2:SetCondition(s.indcon)
	e2:SetValue(s.indval)
	c:RegisterEffect(e2)
	--banish
	local e3=Effect.CreateEffect(c)
	e3:SetCategory(CATEGORY_REMOVE)
	e3:SetType(EFFECT_TYPE_FIELD+EFFECT_TYPE_TRIGGER_O)
	e3:SetCode(EVENT_BATTLE_DAMAGE)
	e3:SetRange(LOCATION_SZONE)
	e3:SetCountLimit(1,id)
	e3:SetCondition(s.rmcon)
	e3:SetTarget(s.rmtg)
	e3:SetOperation(s.rmop)
	c:RegisterEffect(e3)
end
s.listed_series={SET_FA}
function s.indcon(e)
	return Duel.IsExistingMatchingCard(aux.FaceupFilter(Card.IsSetCard,SET_FA),e:GetHandlerPlayer(),LOCATION_MZONE,0,1,nil)
end
function s.indval(e,re,tp)
	return tp~=e:GetHandlerPlayer()
end
function s.rmcon(e,tp,eg,ep,ev,re,r,rp)
	local a=Duel.GetAttacker()
	local d=a:GetBattleTarget()
	if not d then return false end
	if not a:IsControler(tp) then a,d=d,a end
	return a:IsControler(tp) and a:IsSetCard(SET_FA) and a:GetLevel()-a:GetOriginalLevel()>=5 and ep~=tp
end
function s.rmfilter(c)
	return c:IsAbleToRemove() and (c:IsLocation(LOCATION_ONFIELD) or aux.SpElimFilter(c,false,true))
end
function s.rmtg(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.IsExistingMatchingCard(s.rmfilter,tp,LOCATION_HAND|LOCATION_ONFIELD|LOCATION_GRAVE,0,1,nil) end
	Duel.SetOperationInfo(0,CATEGORY_REMOVE,nil,1,tp,LOCATION_HAND|LOCATION_ONFIELD|LOCATION_GRAVE)
end
function s.rmop(e,tp,eg,ep,ev,re,r,rp)
	if not e:GetHandler():IsRelateToEffect(e) then return end
	Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_REMOVE)
	local tc=Duel.SelectMatchingCard(tp,s.rmfilter,tp,LOCATION_HAND|LOCATION_ONFIELD|LOCATION_GRAVE,0,1,1,nil):GetFirst()
	if tc and Duel.Remove(tc,POS_FACEUP,REASON_EFFECT)~=0 then
		tc:RegisterFlagEffect(id,RESET_EVENT|RESETS_STANDARD,0,1)
		local g=Duel.GetMatchingGroup(s.winfilter,tp,LOCATION_REMOVED,0,nil)
		if g:GetClassCount(Card.GetCode)>=3 then
			Duel.Win(tp,WIN_REASON_FA_WINNERS)
		end
	end
end
function s.winfilter(c)
	return c:IsSetCard(SET_FA) and c:IsType(TYPE_FIELD) and c:GetFlagEffect(id)~=0
end