Any person who contests an assessment before the tax appeals commission or in court shall state in his or her petition or notice of appeal what portion if any of the tax is admitted to be legally assessable and correct. Within 5 days after notice by the department, the appellant shall pay to the department the whole amount of the admitted tax and such tax shall be appropriated in accordance with s. 25.20. Any such payment shall be considered an admission of the legality of the tax thus paid, and such tax so paid cannot be recovered in the pending appeal or in any other action or proceeding.