Construct signatures with JSDoc and TS-Pragma ts(2351)

Question

I've a function that returns a constructor dynamically. When I try to instantiate the new object it warns me

This expression is not constructable.
Type 'myConstructor' has no construct signatures.ts(2351)

See example below:

// @ts-check
const BusinessDataConstructor = new myConstructor(Object.keys(businessData).join());
const business = new BusinessDataConstructor(); // ts.(2351) error

I'm using JS but defining all types with JSDoc and make VSCode check it with TS pragma. BusinessDataConstructor is inferring the myConstructor type correctly.

My function begins as follows:

/**
 * @constructor
 * @param {string} keys
 */
function myConstructor {
  /** @constructor */
  function constructor() { ... }
  
  return constructor;
}

To add context it works like a charm on Javascript, no issues either in dev or in runtime. Already checked the JSDoc supported types reference and tried several options but none seem to work properly.

How can I declare the Construct signature using JSDoc?