An opposing candidate of the petitioner under § 12-101 of this subtitle may file a counterpetition if: the petition filed under § 12-101 of this subtitle did not specify all of the precincts in which the office was on the ballot; and on completion of the recount, the winner of the election is changed. A counterpetition shall be a request for a recount of the votes for the office in the precincts not specified by the petitioner under § 12-101 of this subtitle. The opposing candidate shall file the counterpetition with the board with which the candidate’s certificate of candidacy was filed. The petition must be filed within 2 days of the determination under subsection (a)(2) of this section. The State Board shall promptly notify each appropriate local board of a counterpetition that is filed with the State Board. A local board shall promptly notify the State Board of a counterpetition that is filed with the local board.