By Sarah Young and Alistair Smout LONDON (Reuters) – Teachers in England and Wales on Monday announced they would take strike action, joining nurses, rail workers and others in staging industrial action in a further headache for Prime Minister Rishi Sunak’s government. The National Education Union (NEU) said that the first strike would be on Feb. 1, a date when 100,000 public sector workers are due to strike in what could become Britain’s biggest day of co-ordinated industrial action for decades. In all, 23,400 schools in England and Wales will be impacted by the school strikes. Teachers in Sc…