The federal reserve does not print money, the Treasury does.

Supposedly the debt ceiling prevents runaway spending. That already doesn't work because money is loaned into existence in ever-increasing amounts.

Wrong..

The Treasury makes coins.

Paper money is a "Federal Reserve Note". It comes from the federal reserve not the Treasury

The Treasury creates coins or bonds. This is one of the reasons congress has floated the idea of the 10 trillion dollar coin. As it is within their power to order the Treasury to mont that. They can not order the federal reserve to make a 10 trillion dollar bill

Of course it is the fed who prints the money in the US and has dual inflation/unemployment targeting mandate. In other countries this role is typically performed by the central bank.

https://www.federalreserve.gov/aboutthefed.htm

The debt ceiling doesn’t control spending because it is a misnomer. The money has already been spent. The debt ceiling controls whether the government will honor the obligations it has already made.