By Jennifer Newton Prince Harry “could have had his moment” while King Charles and the Princess of Wales recover from surgery, a royal expert has claimed. Both Charles and Kate are stepping back from public duties during their recuperation for separate procedures. It was announced on Wednesday that Kate was admitted to the private hospital on Tuesday for successful abdominal surgery, which Kensington Palace said was planned. She is said to be “doing well” but will remain in the exclusive clinic for between 10 to 14 days, and is not expected to return to official duties until after Easter. Mean…