我正在尝试重载TypeScript中的函数。
下面是我的代码：

/**
 * Returns a 400 Bad Request error.
 *
 * @returns A response with the 400 status code and a message.
 */
export function badRequest(): TypedResponse<{ message: string }>;
/**
 * Returns a 400 Bad Request error.
 *
 * @param errors - An object containing the errors from the Zod schema.
 * @returns A response with the 400 status code, a message and the errors.
 */
export function badRequest<T>(
  errors: ZodFormattedError<T>,
): TypedResponse<{ message: string; errors: ZodFormattedError<T> }>;
/**
 * Returns a 400 Bad Request error.
 *
 * @param errors - An error string.
 * @returns A response with the 400 status code, a message and the errors.
 */
export function badRequest(
  errors: string,
): TypedResponse<{ message: string; errors: string }>;
export function badRequest<T>(errors?: ZodFormattedError<T> | string) {
  return json(
    { message: 'Bad Request', ...(errors && { errors }) },
    { status: 400 },
  );
}

const myRequest = badRequest({
  _errors: [
    {
      code: 'invalid_type',
      expected: 'string',
      received: 'number',
      path: ['name'],
      message: 'Expected string, received number',
    },
  ],
});

我想让TypeScript知道，当badRequest在没有任何参数的情况下被调用时，返回类型只有一个消息，当它被用字符串调用时，它应该有一个包含字符串的属性errors，当它被用ZodFormattedError调用时，errors属性应该是那些错误。
我尝试了上面的代码，TypeScript命令：

No overload matches this call.
  Overload 1 of 3, '(errors: ZodFormattedError<{ _errors: unknown; }, string>): TypedResponse<{ message: string; errors: ZodFormattedError<{ _errors: unknown; }, string>; }>', gave the following error.
    Type '{ code: string; expected: string; received: string; path: string[]; message: string; }' is not assignable to type 'string'.
  Overload 2 of 3, '(errors: string): TypedResponse<{ message: string; errors: string; }>', gave the following error.
    Argument of type '{ _errors: { code: string; expected: string; received: string; path: string[]; message: string; }[]; }' is not assignable to parameter of type 'string'.

如何正确地重载这个函数？