Which way is the job market going and what skills should one build to be in demand a few years from now?
The best way to learn how to become an entrepreneur is, of course, to just start. When you're forcing yourself to learn everything that's necessary to get a business idea up-and-running, you will learn different parts of both your specific business as well as entrepreneurship in general.
Aside from that, you can also work with other entrepreneurs. I find that roles that allow you to wear many hats, and work directly with founders and/or CEO's are best because it exposes you to as many parts of entrepreneurship as possible, and challenges you in many different ways quickly.
Now, for later-stage companies, a "different" type of entrepreneur is necessary. For this, I would try to work at later-stage startups (on the leadership team if you can) to learn the ropes on how things are done at scale and with a large organization.