Lol, no. You wrote, and I quote: "The only other entity I know that can just keep existing while losing money is the government." I listed numerous entities, including sports teams, that lose lots of money.
Lol, no. Non-profits can operate indefinitely as long as they have a large enough endowment, or collect more donations, or can borrow money. E.g. Harvard's endowment is currently around $53 billion. If they lost $10 million per year, they could continue to operate for 5,000 plus years before running out of money.
The same goes for corporations. They can draw from previously stockpiled cash. They can get outside investments. If they're private, they can try to go public to raise money. If they're already public, they can sell stock, or try to go private.
Amazon lost money for 9 years in a row before turning a tiny profit.
Spotify lost money for 15 years before turning a profit in 2022.
Uber lost money for 11 years before turning a profit in 2021.
AirBnB lost money for about 8 years, turned a profit, then started losing money again.
Or, there's another source of cash here.... Can you guess what it is? Allow me to illustrate.
The Florida Panthers claimed they were losing $20-30 million per year. Take a wild guess who they asked to bail them out. Guess! Yep, it's that disgusting filthy money-losing government that you loathe so much. They put the touch on Broward County (or, to be more precise, anyone paying taxes in or to Broward County) for $86 million. The Panthers can go right on losing money, year after year, as long as The Evil Vile Money-Losing Government is willing to subsidize them.
In other words: Contrary to your glib claim, LOTS of organizations lose money and continue to operate, just like the WNBA.