Gov. Andrew Cuomo on Wednesday said he’s considering a wide variety of ways to close an unexpected budget gap, from his own ideas to create more private-sector jobs to a tax on millionaires pushed by the Assembly’s Democratic majority.

In a round of radio interviews Wednesday, Cuomo wouldn’t rule out anything, including the millionaire tax he strongly opposed in the current budget.

“For the first time, he didn’t flat-out deny that he would do it, so we’ll have to see,” said E.J. McMahon of the fiscally conservative Manhattan Institute.

The governor said he is embracing “the best thinking” as the state faces an unexpected $350 million deficit this year and a projected $3.5 billion deficit next year. One idea is from an influential senator who is preparing to release his own proposal to revise how New Yorkers are taxed.

Sen. Jeffrey Klein, a member of the Independent Democratic Conference that works closely with Cuomo and the Senate’s Republican majority, proposes higher income tax rates for New Yorkers making more than $250,000 a year. That’s similar to the so-called millionaire tax that expires Dec. 31. But Klein’s proposal would use all $4 billion generated by those tax increases to give tax breaks to middle-class New Yorkers and issue it in debit cards.

That would mean a typical debit card worth about $1,165 for a family of four making $100,000. A single filer making $30,000 would get $466. The tax breaks would be funded by a typical increase of $2,000 in taxes for New Yorkers with income more than $250,000. The tax rate would rise with income, hitting 10 percent for those making $3 million a year…..

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