In any capital case, if the victim has filed a notice of appearance as specified in A.R.S. § 13-4042, a party seeking an extension of time to file a brief must provide notice of the request to the victim. Notice shall be provided through the prosecutor's office handling the appellate proceeding, unless the victim specifies a different method in the notice of appearance. The victim may specify in the notice of appearance whether notification should be served directly on the victim or on another person, including the prosecutor, and whether service may be made electronically, by telephone, or by regular mail. If the victim has requested direct notification, the party seeking an extension of time shall serve notice on the victim within 24 hours of filing the extension request. If the prosecutor has the duty to notify the victim on behalf of the defendant, the prosecutor shall serve notice within 24 hours of receipt of the extension request. Service shall be made in the manner specified in the notice of appearance, or if no method is specified, by regular mail. In ruling on any request for an extension of a time limit set in this rule, the court shall consider the rights of the defendant and any victim to prompt and final conclusion of the case.