(a) The attorney general may, in the appellate division of the supreme court, seek a stay of any order under this article releasing a person under this article.

(b) The attorney general may appeal as of right from an order entered pursuant to subdivision (k) of section 10.06 of this article dismissing the petition following a determination that probable cause to believe that the respondent is a sex offender requiring civil management has not been established. No appeal may be taken from an order entered pursuant to subdivision (k) of section 10.06 of this article determining that probable cause has been established to believe the respondent is a sex offender requiring civil management. Both the respondent and the attorney general may appeal from any final order entered pursuant to this article. The provisions of articles fifty-five, fifty-six, and fifty-seven of the civil practice law and rules shall govern appeals taken from orders entered pursuant to this article.

(c) In connection with any appeal, a respondent who is or becomes financially unable to obtain counsel shall have the right to have appellate counsel appointed on his or her behalf. Such counsel shall be appointed by the court to which an appeal is taken. If possible, the court shall appoint the mental hygiene legal service. In the event that the court determines that the mental hygiene legal service cannot accept appointment, the court shall appoint an attorney eligible for appointment pursuant to article eighteen-B of the county law, or an entity, if any, that has contracted for the delivery of legal representation services under subdivision (c) of section 10.15 of this article.