That actually depends. If you profit from your parents crimes knowingly, then you are an accomplice. If you profit from your parents crimes unknowingly (as young white people have) then it's less clear.
The author is in a situation now where she knows she is profiting from her parents crimes by continuing to live her life.
Most white people, when faced with that realization, will next try to imagine a way not to profit, and, seeing no easy choices, absolve themselves of responsibility. They say things like "What am I supposed to do, give away my house?" and most people find that idea absurd, so that acts as proof that people are not responsible for blood spilled acquiring the infrastructure they rely on. The notion is, as long those systems are sufficiently difficult to dismantle, they can be used ethically.
I am not convinced. The other rationale is that by changing hands, resources become clean. But that doesn't make much sense to me either. We don't generally think that a purchaser of stolen goods is entitled to the goods. Unless it's land, and the original owner was murdered. Somehow that is acceptable, while keeping someone's stolen jewelry is not.