Did Elon Musk buy SpaceX?

With the recent influx of high-profile acquisitions in the technology and finance world, it begs the question: did Elon Musk indeed purchase SpaceX? Given Musk's profound involvement and leadership of the company, many assume ownership from the start. However, was there an official purchase transaction, a documented shift in ownership? Understanding the nuances of company structures and investment models in the 21st century is crucial. Did Musk simply found SpaceX or did he acquire it at a later stage? This question delves into the financial and legal intricacies of a multi-billion dollar enterprise, seeking clarity on who ultimately holds the reins of this space exploration giant.