Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
At the start of your Main Phase 1: Target 3 monsters with different Types in your Graveyard; Shuffle all 3 into the Deck, then draw 2 cards. You cannot conduct your Battle Phase the turn you activate this card.
--貪欲で無欲な壺
--Pot of Dichotomy
local s,id=GetID()
function s.initial_effect(c)
	--Activate
	local e1=Effect.CreateEffect(c)
	e1:SetCategory(CATEGORY_TODECK+CATEGORY_DRAW)
	e1:SetProperty(EFFECT_FLAG_CARD_TARGET)
	e1:SetType(EFFECT_TYPE_ACTIVATE)
	e1:SetCode(EVENT_FREE_CHAIN)
	e1:SetCondition(s.condition)
	e1:SetCost(s.cost)
	e1:SetTarget(s.target)
	e1:SetOperation(s.activate)
	c:RegisterEffect(e1)
end
function s.condition(e,tp,eg,ep,ev,re,r,rp)
	return Duel.GetActivityCount(tp,ACTIVITY_BATTLE_PHASE)==0 and not Duel.CheckPhaseActivity()
end
function s.cost(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return true end
	local e1=Effect.CreateEffect(e:GetHandler())
	e1:SetType(EFFECT_TYPE_FIELD)
	e1:SetCode(EFFECT_CANNOT_BP)
	e1:SetProperty(EFFECT_FLAG_PLAYER_TARGET+EFFECT_FLAG_OATH)
	e1:SetTargetRange(1,0)
	e1:SetReset(RESET_PHASE|PHASE_END)
	Duel.RegisterEffect(e1,tp)
	local e2=Effect.CreateEffect(e:GetHandler())
	e2:SetProperty(EFFECT_FLAG_PLAYER_TARGET+EFFECT_FLAG_CLIENT_HINT)
	e2:SetDescription(aux.Stringid(id,1))
	e2:SetReset(RESET_PHASE|PHASE_END)
	e2:SetTargetRange(1,0)
	Duel.RegisterEffect(e2,tp)
end
function s.filter(c,e)
	return c:IsMonster() and c:IsAbleToDeck() and c:IsCanBeEffectTarget(e)
end
function s.target(e,tp,eg,ep,ev,re,r,rp,chk,chkc)
	if chkc then return false end
	if chk==0 then
		if not Duel.IsPlayerCanDraw(tp,2) then return false end
		local g=Duel.GetMatchingGroup(s.filter,tp,LOCATION_GRAVE,0,nil,e)
		return g:GetClassCount(Card.GetRace)>=3
	end
	local g=Duel.GetMatchingGroup(s.filter,tp,LOCATION_GRAVE,0,nil,e)
	local tg=aux.SelectUnselectGroup(g,e,tp,3,3,aux.dpcheck(Card.GetRace),1,tp,HINTMSG_TODECK)
	Duel.SetTargetCard(tg)
	Duel.SetOperationInfo(0,CATEGORY_TODECK,tg,3,0,0)
	Duel.SetOperationInfo(0,CATEGORY_DRAW,nil,0,tp,2)
end
function s.activate(e,tp,eg,ep,ev,re,r,rp)
	local tg=Duel.GetChainInfo(0,CHAININFO_TARGET_CARDS)
	if not tg or tg:FilterCount(Card.IsRelateToEffect,nil,e)~=3 then return end
	Duel.SendtoDeck(tg,nil,SEQ_DECKTOP,REASON_EFFECT)
	local g=Duel.GetOperatedGroup()
	if g:IsExists(Card.IsLocation,1,nil,LOCATION_DECK) then Duel.ShuffleDeck(tp) end
	local ct=g:FilterCount(Card.IsLocation,nil,LOCATION_DECK|LOCATION_EXTRA)
	if ct==3 then
		Duel.BreakEffect()
		Duel.Draw(tp,2,REASON_EFFECT)
	end
end