verificar campos de un array y llenarlo en otro array

const arr = [
  {id: 1, name: "john", age: 28},
  {id: 2, name: "jane", age: 34},
  {id: 3, name: "", age: 32},
];

const arr2 = arr.map((obj) => {
  let newObj = {}
  if (obj.name) {
    newObj = {...obj}
  } else {
    newObj = {...obj, name: "anonymous"}
  }
  return newObj;
});

arr2