NEW YORK — There are few places in the U.S. with a more deeply ingrained reputation as a refuge for immigrants than New York City, where the Statue of Liberty rises from the harbor as a symbol of welcome for the worn and weary.

But for Mayor Eric Adams, reconciling that image with an influx of migrants landing in the city, including thousands being bused there by Republican Gov. Greg Abbott of Texas, is proving difficult. The city is struggling to accommodate what Adams says has totaled more than 13,000 asylum seekers, leading him to explore whether New York can ease its practices for sheltering the homeless or even temporarily house migrants on cruise ships. Both ideas have drawn blowback from liberal advocates who are influential in the city’s politics.

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