Google says: The Federal Reserve Banks are not a part of the federal government, but they exist because of an act of Congress. Their purpose is to serve the public.
And, of course, they modify their language as much as possible to support the 'liberal' agenda. A few decades ago, the authorities were more direct and honest with their answers.
https://www.google.com/search?rlz=1C1QMKX_en&sxsrf=APwXEdc3jXC5kH1i3dSC9zivSMA29V7hBQ:1681995957682&q=Is+Federal+Reserve+a+government+agency%3F&sa=X&ved=2ahUKEwjQz8icw7j-AhXRlmoFHRyDDQ4Qzmd6BAg-EAY&biw=1088&bih=474&dpr=1.25