Not the party makeup, but here is an article from the NYT a week before the 1994 election showing Cuomo (Mario) ahead of Pataki by 10 points ....
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Among all registered voters, Mr. Cuomo leads Mr. Pataki in the poll by a 44 percent to 34 percent margin, with Mr. Golisano receiving 7 percent and Robert T. Walsh, the Right to Life Party nominee, receiving 3 percent. Ten percent said they were undecided. Mr. Cuomo trails Mr. Pataki by 42 percent to 21 percent in upstate New York, but leads him by 65 percent to 21 percent in New York City and by 48 percent to 36 percent in the New York City suburbs. In a previous New York Times/WCBS-TV News Poll, which was taken from Sept. 29 to Oct. 2, Mr. Pataki led Mr. Cuomo in the suburbs by 47 percent to 36 percent. The previous poll showed Mr. Pataki leading Mr. Cuomo statewide by 44 percent to 41 percent.
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source: https://www.nytimes.com/1994/10/31/nyregion/the-1994-campaign-the-voters-poll-finds-cuomo-has-edged-ahead-of-pataki-in-race.html ... (not paywalled)
That was in 1994 and the country has changed immensely, but it would be interesting to know."
New York state historical voter registration stats (and lots of other stuff)
The answer was: 47% Rat, 31% GOP, 22% other in 1994.