(a) If a conflict of interest exists, the Office may request withdrawal from the case in accordance with the procedure and limitations set forth in 5 V.I.C. § 3524 (c).
(b) If the Office of the Territorial Public Defender and the Office of Conflict Counsel have both been granted permission to withdraw from a case due to a conflict of interest, the court shall appoint other counsel to represent the defendant at every stage of the proceedings and may appoint counsel from a panel of private attorneys in accordance with 5 V.I.C. § 3503 (a).