NewYork-Presbyterian has resolved a monthslong contract dispute with the insurer Healthfirst, allowing the hospital system to remain in-network for some 2 million New Yorkers with coverage through the nonprofit.

The agreement, confirmed Tuesday by the hospital and the insurer, is welcome news to patients throughout the region. Some with Healthfirst coverage worried they would have to leave longtime health care providers after the insurer announced over the summer that NewYork-Presbyterian’s hospitals, along with thousands of affiliated physicians, would no longer be in-network as of Nov. 3.

As of Tuesday morning, NewYork-Presbyterian’s website had been updated to inform patients with Healthfirst insurance that their care would continue to be covered after that date.

“We are pleased

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