You are being pedantic.

I have 2 family members who are/were special agents for the FBI. Much of their job is harvesting evidence to build cases by spying, which frequently comes more in the form of “spying” in the way we saw in The Sopranos.

The FBI is also the premier counter-espionage organization within the US, so it is tasked with spying on suspected foreign / turned spies.

It is much more than a spy network, but it is exactly that as well.

All cleared citizens are subject to warrantless search at any time by the FBI, some for the remainder of their life. You don't have to be a suspect to fall within their panopticon.