Except for proceedings transferred in accordance with section 302.3(4) of the Family Court Act, when a judge who has presided at the fact-finding hearing, or accepted an admission pursuant to section 321.3 of such act in a juvenile delinquency proceeding, cannot preside at another subsequent hearing, including the dispositional hearing, for the reasons set forth in section 340.2(3), the assignment of the proceeding to another judge of the court shall be made as authorized by the Chief Administrator of the Courts.