Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
If this card is added to your hand, except by drawing it: You can Special Summon this card. You can only use this effect of "Agnimal Candle" once per turn. Once per Chain, up to thrice per turn, if a monster is sent to your GY (except during the Damage Step): You can increase or decrease this card's Level by 1.
--火天獣－キャンドル
--Agnimal Candle
--scripted by Naim
local s,id=GetID()
function s.initial_effect(c)
	--Special Summon itself when added to the hand
	local e1=Effect.CreateEffect(c)
	e1:SetDescription(aux.Stringid(id,0))
	e1:SetCategory(CATEGORY_SPECIAL_SUMMON)
	e1:SetType(EFFECT_TYPE_SINGLE+EFFECT_TYPE_TRIGGER_O)
	e1:SetProperty(EFFECT_FLAG_DELAY)
	e1:SetCode(EVENT_TO_HAND)
	e1:SetCountLimit(1,id)
	e1:SetCondition(function(e) return not e:GetHandler():IsReason(REASON_DRAW) end)
	e1:SetTarget(s.sptg)
	e1:SetOperation(s.spop)
	c:RegisterEffect(e1)
	--Increase or decrease this card's Level by 1
	local e2=Effect.CreateEffect(c)
	e2:SetDescription(aux.Stringid(id,1))
	e2:SetCategory(CATEGORY_LVCHANGE)
	e2:SetType(EFFECT_TYPE_FIELD+EFFECT_TYPE_TRIGGER_O)
	e2:SetProperty(EFFECT_FLAG_DELAY)
	e2:SetCode(EVENT_TO_GRAVE)
	e2:SetRange(LOCATION_MZONE)
	e2:SetCountLimit(3)
	e2:SetCondition(s.lvcon)
	e2:SetTarget(s.lvtg)
	e2:SetOperation(s.lvop)
	c:RegisterEffect(e2)
end
function s.sptg(e,tp,eg,ep,ev,re,r,rp,chk)
	local c=e:GetHandler()
	if chk==0 then return Duel.GetLocationCount(tp,LOCATION_MZONE)>0
		and c:IsCanBeSpecialSummoned(e,0,tp,false,false) end
	Duel.SetOperationInfo(0,CATEGORY_SPECIAL_SUMMON,c,1,0,0)
end
function s.spop(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	if c:IsRelateToEffect(e) then
		Duel.SpecialSummon(c,0,tp,tp,false,false,POS_FACEUP)
	end
end
function s.cfilter(c,tp)
	return c:IsMonster() and c:IsControler(tp)
end
function s.lvcon(e,tp,eg,ep,ev,re,r,rp)
	return eg:IsExists(s.cfilter,1,nil,tp)
end
function s.lvtg(e,tp,eg,ep,ev,re,r,rp,chk)
	local c=e:GetHandler()
	if chk==0 then return c:HasLevel() and not c:HasFlagEffect(id) end
	c:RegisterFlagEffect(id,RESET_CHAIN,0,1)
	Duel.SetOperationInfo(0,CATEGORY_LVCHANGE,c,1,tp,0)
end
function s.lvop(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	if not (c:IsFaceup() and c:IsRelateToEffect(e) and c:HasLevel()) then return end
	local b1=true
	local b2=c:IsLevelAbove(2)
	local op=Duel.SelectEffect(tp,
		{b1,aux.Stringid(id,2)}, --Increase its Level by 1
		{b2,aux.Stringid(id,3)}) --Decrease its Level by 1
	local value=(op==1 and op) or -1
	---Increase or decrease its Level by 1
	local e1=Effect.CreateEffect(c)
	e1:SetType(EFFECT_TYPE_SINGLE)
	e1:SetCode(EFFECT_UPDATE_LEVEL)
	e1:SetValue(value)
	e1:SetReset(RESET_EVENT|RESETS_STANDARD_DISABLE)
	c:RegisterEffect(e1)
end