TROY, N.Y. — Applications have closed for the Troy Public Library Board of Trustees opening. Whichever applicant is elected by the Board will have a six-month or so adjustment period before they are up for election in the city for a full three-year term. “I think it’s a good opportunity to see if somebody wants to serve their community,” said Alex Hanse, president of the Board of Trustees. “I always think it’s good to have civic engagement for l…