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Council member David Catania, at-large independent, and Mr. Gray said they set aside heated differences from earlier in the week and agreed to devote $13 million in local funds to restore a hospital care benefit to members of the D.C. HealthCare Alliance, which primarily serves immigrants who are not eligible for Medicaid. The city will also leverage federal Medicaid dollars to provide emergency care for those in the Alliance.

“Today’s agreement is, of course, a victory for equality in our city,” Mr. Catania said from the dais.

Mr. Brown’s budget, which may be amended by a majority vote among council members before their final vote, also emphasizes economic development along Pennsylvania Avenue in Southeast and funds education initiatives.

Council member Phil Mendelson, at-large Democrat and chairman of the Committee on the Judiciary, obtained a much-needed $4 million in capital funds to replace a portion of the Metropolitan Police Department’s vehicle fleet.

“We’re on the brink of a situation that could be very bad and embarrassing,” he said, “both for the District and the police department.”