Marks for the supplemental register shall not be published for or be subject to opposition, but shall be published on registration in the Official Gazette of the Patent and Trademark Office. Whenever any person believes that such person is or will be damaged by the registration of a mark on the supplemental register—

((1)) for which the effective filing date is after the date on which such person’s mark became famous and which would be likely to cause dilution by blurring or dilution by tarnishment under ; or

((2)) on grounds other than dilution by blurring or dilution by tarnishment,