To be entitled to have its nominees for president and vice-president of the United States placed on the general election ballot in a particular presidential election year, a political party must hold a presidential primary election in this state if:
(1) in the presidential election year, the party is required by this code to nominate its candidates for state and county offices by primary election;
(2) a presidential primary election is authorized under national party rules; and
(3) before January 1 of the presidential election year, the national party has determined that it will hold a national presidential nominating convention that year.