Different than the person you responded to - as an adult I’ve lived in 3 states, in metropolitan areas, and the rule has always been that you must show up to exactly the polling location assigned to you. People at that location and that location only have your name on a list that they use to verify your voter registration.
In one of the cities, you could go to the election clerk’s office to receive a provisional ballot that would be counted only if they verified that a ballot was not cast in your name at your assigned polling location.

Oh, and the assigned polling place moves almost every election.

Editing to add: You often have to know what ward you represent, because the ballots can differ by ward and they combine several wards into one polling location. If you don’t know your ward (and the election folks aren’t nice), you have to wait in line for each ward until you accidentally find the person with your name in their book. (Each book represents a ward.)