How to document a function returned by a function using JSDoc

This seems to be working for me.

 /**
 * @param {Number} count - number of times to prompt
 * @return {function(): void} - the returned function
 */
  manyPrompts(count) {
      /**
       * My inner function
       *
       * @param {object} prompt Some parameter
       */
      const inner = function(prompt) {
        for (let i=0; i < count; i++) {
          alert(prompt);
        };
      };
      return inner;
  }