HONG KONG—Hong Kong plans to offer COVID-19 vaccines to children as young as three as infections rage through the city. The announcement late Sunday came ahead of another surge in cases. The city reported a record 2,071 new cases on Monday, with that number expected to double the next day with more than 4,500 preliminary positives identified. Hong Kong schools extended a suspension of in-class teaching for two weeks to March 6. The wave blamed on the Omicron variant has already prompted new restrictions limiting in-person gatherings to no more than two households. Hong Kong residents have been rushing to grocery stories to stock up on vegetables and to hair salons to get haircuts. Authorities have imposed lockdowns on residential buildings wherever clusters of infections are identified, and have already banned public dining after 6 p.m. Only vaccinated people will be permitted in shopping malls and supermarkets, while places of …