Section 6-122. Designation or nomination; eligibility, restrictions

A
  person shall not be designated or nominated for a public office or party
  position who (1) is not a citizen of the  state  of  New  York;  (2)  is
  ineligible  to  be  elected  to  such office or position; or (3) who, if
  elected will not at the time of commencement of the term of such  office
  or position, meet the constitutional or statutory qualifications thereof
  or,   with   respect   to  judicial  office,  who  will  not  meet  such
  qualifications within thirty days of the commencement  of  the  term  of
  such office.