The provisions of subsection (a) of § 17a-506 shall apply to any person who is in the custody of the Commissioner of Correction provided that no such person shall be received in a hospital for observation and treatment unless a physician designated by the Commissioner of Correction notifies in writing both the Commissioner of Correction and the Commissioner of Mental Health and Addiction Services that such person is in need of observation and treatment in a hospital for psychiatric disabilities. No such person shall be confined in any such hospital for more than ten days after he has given written notice of his desire to leave, without commitment, pursuant to the provisions of § 17a-498, by the court of probate for the district wherein such person is hospitalized. In the absence of such commitment, such person, if in the custody of the Commissioner of Correction, shall be returned to any institution administered by the Department of Correction as the Commissioner of Correction shall designate, unless his custody in the Commissioner of Correction has terminated, in which case he shall be discharged.