Is AC Milan a public company?

I'm curious to know if AC Milan, the renowned Italian football club, operates as a public company. Are its shares publicly traded on any stock exchange, allowing individuals to invest in the club and potentially benefit from its successes and challenges? Or does it remain privately owned, with its ownership and decision-making process restricted to a select few individuals or entities? Understanding the ownership structure of AC Milan could provide valuable insights into its financial health, governance, and potential future growth prospects.