; and (B) in the case of paragraph (2), on the date on which the State provides written certification to the President that the State has in effect laws providing for the State to exercise authority over individuals who are released offenders of the State. (b) Court Services and Offender Supervision Agency (1) Renaming Effective upon the date of the admission of the State into the Union— (A) the Court Services and Offender Supervision Agency for the District of Columbia shall be known and designated as the Court Services and Offender Supervision Agency for Washington, Douglass Commonwealth, and any reference in any law, rule, or regulation to the Court Services and Offender Supervision Agency for the District of Columbia shall be deemed to refer to the Court Services and Offender Supervision Agency for Washington, Douglass Commonwealth