Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
Each player can Special Summon a maximum of 3 monsters from the Extra Deck each turn.
--サモン・ゲート
--Summon Gate
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)
	--summon count limit
	local e2=Effect.CreateEffect(c)
	e2:SetType(EFFECT_TYPE_FIELD)
	e2:SetRange(LOCATION_SZONE)
	e2:SetCode(EFFECT_CANNOT_SPECIAL_SUMMON)
	e2:SetProperty(EFFECT_FLAG_PLAYER_TARGET)
	e2:SetTargetRange(1,1)
	e2:SetTarget(s.sumlimit)
	c:RegisterEffect(e2)
	--
	local e3=Effect.CreateEffect(c)
	e3:SetType(EFFECT_TYPE_FIELD)
	e3:SetRange(LOCATION_SZONE)
	e3:SetCode(CARD_SUMMON_GATE)
	e3:SetProperty(EFFECT_FLAG_PLAYER_TARGET)
	e3:SetTargetRange(1,1)
	e3:SetValue(s.remainval)
	c:RegisterEffect(e3)
	aux.GlobalCheck(s,function()
		s[0]=3
		s[1]=3
		local ge1=Effect.CreateEffect(c)
		ge1:SetType(EFFECT_TYPE_CONTINUOUS+EFFECT_TYPE_FIELD)
		ge1:SetCode(EVENT_SPSUMMON_SUCCESS)
		ge1:SetOperation(s.checkop)
		Duel.RegisterEffect(ge1,0)
		aux.AddValuesReset(function()
			s[0]=3
			s[1]=3
		end)
	end)
end
function s.sumlimit(e,c,sump,sumtype,sumpos,targetp,se)
	return c:IsLocation(LOCATION_EXTRA) and s[sump]<=0
end
function s.remainval(sump)
	return math.max(s[sump],0)
end
function s.checkop(e,tp,eg,ep,ev,re,r,rp)
	local tc=eg:GetFirst()
	for tc in aux.Next(eg) do
		if tc:IsPreviousLocation(LOCATION_EXTRA) then
			local p=tc:GetSummonPlayer()
			s[p]=s[p]-1
		end
	end
end