Probably, but I wouldn't know what I would choose to be honest. I am currently involved with starting a startup which also entails a lot of interesting aspects on the business side.

I completely feel you. On the one hand I would love to get deep technical expertise, but this is something that is not that relevant in startups. My technical expertise is good enough to build but it's rather general. I am a master of nothing basically.

Something that I struggle with is the internal battle of "oh shit I wanna know more about this cool tech" and "I wanna provide cool products to people and help create value".

I would say computer engineering is probably the broadest. You get a lot of the relevant computer science things and a lot of the electrical engineering things as well. I would consider taking some business related courses (marketing, entrepeneurship, ...). Being an engineer with a perspective on the business side of things is a good spot to be in.