The superior court that imposed the sentence shall offer to appoint counsel to represent a state prisoner subject to a capital sentence for purposes of state postconviction proceedings, and shall enter an order containing one of the following:
(a) The appointment of one or more counsel to represent the prisoner in proceedings pursuant to Section 1509 of the Penal Code upon a finding that the person is indigent and has accepted the offer to appoint counsel or is unable to competently decide whether to accept or reject that offer.
(b) A finding, after a hearing if necessary, that the prisoner rejected the offer to appoint counsel and made that decision with full understanding of the legal consequences of the decision.
(c) The denial to appoint counsel upon a finding that the person is not indigent.