Earlier quoted context omitted.
I'm not sure how your quote is relevant to the statement that the Federal Reserve is part of the US government. The Federal Reserve is "independent within the government" [1] not separate from the government. There's a whole page on the Federal Reserve website's FAQ section dedicated to explaining this. Your quote seems to be about how commercial or State banks apply to become a part of the Federal reserve system. 1.…
Can you not read ? "Any" bank can become a member. It is quite clear in plain english.
If you have any recorded evidence to support the argument the Fed is not in practice operated as branch of the US Government I'd be very interested ion reading it