Sydney—New South Wales (NSW) has recorded its first death linked to the Omicron COVID-19 variant, amid a surge of cases that has seen the number of people hospitalised across the state double in the past week. On Monday there were 6324 new infections were diagnosed from more than 97,000 tests on Sunday. However, the state also reported three deaths. Among them was a man in his 80s who became the state’s first Omicron death, NSW Health says. The man acquired his infection at the Uniting Lilian Wells aged care facility in North Parramatta. He was fully vaccinated but had underlying health conditions. Another man in his 80s and a woman in her 90s also died. While new cases dropped by 70, the number of people hospitalised has doubled in the past week. A total of 520 people are in hospital, 55 of them in intensive care and 17 ventilated. Testing …