If you step up your game in the business sector. It is one way to grow your stay there and that's to acquire as much as business as you can based on your interest and growth that you're looking for. So, if I have all the resources, this is my type to grow business and also buy businesses that I want to continue whether they're already profitable or not but of course, it's more with the profitable ones.
You summed it up very well: if this is your first business, I also think that growing your own business is better. This way, you can learn from the ground how everything works, you are able to make mistakes and learn from them, and it is still your personal project which can be abandoned if things go wrong and start a new one with the lessons learnt. The kind of activity that fits with the entrepreneurial personality.
But, when your business has grown, one typical way to keep growing is to buy existing ones that you think are promising/create synergies with the rest of your business/they are a bargain because they are on sale. Of course, to do that, you need the capital, and it is not generally a good idea to borrow it when you are starting and have no clue on how these things work. If you like these things, you'd better study M&A instead. The kind of activity that fits with the management oriented personality.