This is hard question. I would need to look at it and know the property to get the correct amount. I’m not sure how much contractor charge for labor and for the central air conditioner in your area.
I would guess it between 6 and 7 thousand dollar in your area. By the way, how much was the duct and the furnace cost plus the labor in North Syracuse, NY?
P.S
Would you come back here and tell other homeowners in North Syracuse, NY the amount it costs to install your central air conditioner in that area?