It seems odd to me that you are interested in a PhD at all. I even wonder whether you understand the effect it would have relative to what seem to be your goals. You seem to be very interested in the management side and in entrepreneurship but a PhD is an entirely different sort of thing.
In doctoral studies in Computer Science you will study very deeply in some very narrow part of computing with an eye to doing research in that and related sub-fields. That is nothing about running a business.
Looking at it from another aspect, your current and proposed studies don't seem to be laying a base for doctoral studies, though they would be good for what may be your real goals. The same is true about a gap year.
Entrepreneurs need to be broadly educated, not narrowly. They need to bring teams together to create something, not just research it. Doctoral students need to be totally committed to their narrow field, at least until they finish a dissertation.
Are you sure that seeking a doctorate won't get you further from your real goals? Think about what you really want and then focus on that. It might even be that advanced study is right for you, but in a field different from CS. Sergey Brin, for example, doesn't hold a doctorate, but he can hire a lot of them as required.