The event, organized by the city’s hospital system, was billed as a “resource and family fun day” for immigrants and their children, many of whom have come to New York in droves in recent weeks. “I came to New York about three days ago. I’m a welder and I’m looking for a job here,” Venezuelan refugee Adrian Medina, 32, said through a translator. Immigrants are provided with health care coverage, food and other items, including school supplies and free phones on Bronx Sunday. Thomas E. Gaston Medina said he arrived on a bus that left Texas five days ago, after a solo trek from his homeland that included six days of walking through the jungle. Now living at the Bellevue Men’s Shelter, Medina said he saw a flyer for the event there. He was waiting in line for ice cream when he spoke to The Post. “I’m feeling a bit better now, but when I first arrived, I wasn’t well,” he said. “We didn’t sleep or eat well.” Adrian Medina from Venezuela lives at the Bellevue Men’s Shelter. The immigrants were also given library cards and back-to-school supplies for their children.Tomas E. Gaston Many of the immigrants were bussed to New York by Texas Governor Greg Abbott.Tomas E. Gaston Another Venezuelan, Luis Quintana, 48, said he came to the event “to get an ID and health insurance” after arriving in the city from Texas on Friday. “I feel good now, but I wasn’t. I felt uncomfortable on the bus. The bathroom on the bus was closed for several hours,” Quintana said. “I came to New York to get away from the delinquency in Venezuela, the cops on the streets, the armed people. I want to work and progress.” A spokesman for Medicaid provider MetroPlusHealth, which co-sponsored the event, said it expects about 1,200 immigrants, mostly children, to attend. At least some of the migrants had been bused to New York by Texas’ Republican governor, who has been angered by what he calls Democratic President Joe Biden’s lax border policies while also targeting Democratic city mayors. The migrants crossed the Mexican border into Texas illegally and then said they were seeking asylum, which allows them to remain legally in the US while their cases go through the courts. MetroPlusHealth said it is offering at least temporary health care coverage for immigrants at Sunday’s event. The line to get into the event on the hospital’s Great Lawn stretched as far as the block. Immigrants were also given library cards and back-to-school supplies for their children. A spokesman for Medicaid provider MetroPlusHealth said he expects about 1,200 immigrants to attend the event.Tomas E. Gaston City Hall estimates that more than 4,000 migrants have arrived in the city in recent weeks. The city’s Department of Homeless Services on Friday asked Big Apple hotels to help find 5,000 rooms to house newcomers — up from a previous request of 600.