Ariz. Rev. Stat. § 16-564
B. If a locked ballot box must be moved from a polling place due to an emergency, at least two members of the election board from that polling place who are not members of the same political party shall accompany the locked ballot box to a new polling place designated by the officer in charge of elections, subject to the following:
F. If during the course of an election day the ballot box can no longer accommodate additional ballots, the board members may remove a sufficient number of ballots from the ballot box and shall place the removed ballots into the case that will be used for the transfer of the ballots to the officer in charge of elections. The inspector and both judges shall oversee the transfer and the following shall apply: