The Snohetta building, whose fate was uncertain after the International Freedom Center got shooed away last fall, just got $80 million closer to reality. That’s the amount Governor Pataki is earmarking for the building in his executive budget, according to a source. And, because the building has shrunk considerably, that will be enough for its construction. It will house part of the museum dedicated to the 1993 and 2001 attacks on the World Trade Center and serve as a visitors center. As a result, the World Trade Center Memorial Foundation will not have to devote any of its own money to the structure, which some family members didn’t like anyway. More details expected later today.