Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
When this card is activated: Place 3 counters on this card. If your "Gouki" monster destroys an opponent's monster by battle: Remove 1 counter from this card. Once per turn, at the end of the Battle Phase, if the last of these counters has been removed this way: You can Special Summon as many "Gouki" monsters as possible with different names from your hand and/or Deck, then place 3 counters on this card.
--剛鬼死闘
--Gouki Cage Match
local s,id=GetID()
function s.initial_effect(c)
	c:EnableCounterPermit(0x46)
	--Activate
	local e1=Effect.CreateEffect(c)
	e1:SetCategory(CATEGORY_COUNTER)
	e1:SetType(EFFECT_TYPE_ACTIVATE)
	e1:SetCode(EVENT_FREE_CHAIN)
	e1:SetTarget(s.target)
	e1:SetOperation(s.activate)
	c:RegisterEffect(e1)
	--remove counter
	local e2=Effect.CreateEffect(c)
	e2:SetDescription(aux.Stringid(id,0))
	e2:SetType(EFFECT_TYPE_FIELD+EFFECT_TYPE_TRIGGER_F)
	e2:SetCode(EVENT_BATTLE_DESTROYING)
	e2:SetRange(LOCATION_FZONE)
	e2:SetCondition(s.rccon)
	e2:SetOperation(s.rcop)
	c:RegisterEffect(e2)
	--special summon
	local e3=Effect.CreateEffect(c)
	e3:SetDescription(aux.Stringid(id,1))
	e3:SetCategory(CATEGORY_SPECIAL_SUMMON)
	e3:SetType(EFFECT_TYPE_FIELD+EFFECT_TYPE_TRIGGER_O)
	e3:SetCode(EVENT_PHASE|PHASE_BATTLE)
	e3:SetRange(LOCATION_FZONE)
	e3:SetCountLimit(1)
	e3:SetCondition(s.spcon)
	e3:SetTarget(s.sptg)
	e3:SetOperation(s.spop)
	c:RegisterEffect(e3)
end
s.listed_series={SET_GOUKI}
function s.target(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.IsCanAddCounter(tp,0x46,3,e:GetHandler()) end
	Duel.SetOperationInfo(0,CATEGORY_COUNTER,nil,3,0,0x146)
end
function s.activate(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	if c:IsRelateToEffect(e) then
		c:AddCounter(0x46,3)
	end
end
function s.rccon(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	local rc=eg:GetFirst()
	return rc:IsRelateToBattle() and rc:IsStatus(STATUS_OPPO_BATTLE)
		and rc:IsFaceup() and rc:IsSetCard(SET_GOUKI) and rc:IsControler(tp)
end
function s.rcop(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	if c:IsRelateToEffect(e) then
		c:RemoveCounter(tp,0x46,1,REASON_EFFECT)
		c:RegisterFlagEffect(id,RESET_EVENT|RESETS_STANDARD,0,0)
	end
end
function s.spcon(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	return c:GetCounter(0x46)==0 and c:GetFlagEffect(id)>2
end
function s.spfilter(c,e,sp)
	return c:IsSetCard(SET_GOUKI) and c:IsCanBeSpecialSummoned(e,0,sp,false,false)
end
function s.sptg(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.GetLocationCount(tp,LOCATION_MZONE)>0
		and Duel.IsExistingMatchingCard(s.spfilter,tp,LOCATION_HAND|LOCATION_DECK,0,1,nil,e,tp) end
	Duel.SetOperationInfo(0,CATEGORY_SPECIAL_SUMMON,nil,1,0,LOCATION_HAND|LOCATION_DECK)
end
function s.spop(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	if not c:IsRelateToEffect(e) then return end
	local ft=Duel.GetLocationCount(tp,LOCATION_MZONE)
	local tg=Duel.GetMatchingGroup(s.spfilter,tp,LOCATION_HAND|LOCATION_DECK,0,nil,e,tp)
	if #tg==0 or ft<=0 then return end
	if Duel.IsPlayerAffectedByEffect(tp,CARD_BLUEEYES_SPIRIT) then ft=1 end
	local g=aux.SelectUnselectGroup(tg,e,tp,1,ft,aux.dncheck,1,tp,HINTMSG_SPSUMMON)
	if #g>0 and Duel.SpecialSummon(g,0,tp,tp,false,false,POS_FACEUP)~=0 then
		c:AddCounter(0x46,3)
		c:ResetFlagEffect(id)
	end
end