I can’t believe the Weiners allowed the production team to make a movie like this.

It’s likely you already have an idea about how the story of former New York congressman Anthony Weiner unfolds. You might assume “Weiner,” a documentary chronicling his failed bid for mayor of New York City, would simply rehash familiar ground. I entered the screening with similar reservations, but I ended up seeing a truly gripping, captivating, and skillfully made film. Some viewers may consider this movie explo…