§ 610. Completion of unfinished business. Any proceeding or other business undertaken or commenced by a department, office or agency, the functions, powers and duties whereof are assigned, may be conducted and completed by the head of the department, office or agency to which the assignment is made, in the same manner and under the same terms and conditions and with the same effect as if undertaken or commenced and conducted and completed by the department, office or agency, the functions, powers and duties whereof are so assigned.