You are in NY. The code requires a permit for structural work. It is likely that the code office will require a drawing and professional stamp. I seldom hire anyone, but in this case you need a design professional (architect or engineer). You need the right sized beam of the right materials, with the right connections and adequate support all the way to a footing. Also, during construction it needs temporary support located out of the way of installing the beam. Don’t guess or have someone on a forum do structural design for you. If you do, it might work, it might sag or cause bouncy floors, or it could collapse and kill someone.