Section 629. Judicial review

1.  Within fifteen days after receipt of the
  copy of the report containing the  final  decision  of  the  board,  the
  comptroller shall, if in his judgment the award is illegal or excessive,
  notify  the  board  of  his  conclusion,  state  the  reasons  for  that
  conclusion, and provide specific recommendations for modification.  Upon
  receiving such notification, the board shall have  fifteen  days  within
  which  to review and either modify or re-affirm its award. If after such
  modification or reaffirmation the comptroller continues to  adjudge  the
  award  to  be  illegal  or  excessive,  he may within fifteen days after
  receipt of such modification or reaffirmation, commence a proceeding  in
  the appellate division of the supreme court, third department, to review
  the  decision  of the board. Such proceeding shall be heard in a summary
  manner and shall have precedence over all  other  civil  cases  in  such
  court.  Any  claimant  aggrieved  by  a  final decision of the board may
  commence a proceeding  to  review  that  decision  pursuant  to  article
  seventy-eight of the civil practice law and rules.
    2.  Any  such  proceeding  shall be commenced by the service of notice
  thereof upon the claimant and the board in person or by mail.