Typescript Pick数组未按预期工作

type PickArray<T, K extends keyof T> = {
  [P in K]: T[P];
};

const pickArray = <T, K extends keyof T>(arr: T[], keys: K[]): PickArray<T, K>[] => {
  return arr.map(item => {
    const pickedItem: PickArray<T, K> = {} as PickArray<T, K>;
    keys.forEach(key => {
      pickedItem[key] = item[key];
    });
    return pickedItem;
  });
};

// 示例使用
interface Person {
  name: string;
  age: number;
  gender: string;
}

const people: Person[] = [
  { name: 'Alice', age: 25, gender: 'female' },
  { name: 'Bob', age: 30, gender: 'male' },
  { name: 'Charlie', age: 35, gender: 'male' },
];

const pickedPeople = pickArray(people, ['name', 'age']);
console.log(pickedPeople);