Sections 20-403, 20-405 and 20-406 shall not apply to such transactions as are prescribed in section 20-401.01, paragraphs 1, 2, 3, 4, 5, 7 and 8, nor to any action or proceeding against an unauthorized insurer arising out of the following types of insurance where the policy or contract contains a provision designating the director as its attorney for the acceptance of service of lawful process in any action or proceeding instituted by or on behalf of an insured or beneficiary arising out of any such policy, or where the insurer enters a general appearance in any such action:
A.R.S. § 20-404