Bribery is a corruption that happens in every single economic system, so it has nothing to do with the "invisible hand" of capitalism. In fact, arguments could be made as to why it happens less in free markets (where an economy flows more freely) than in non-free markets (where there are artificial barriers, making bribery more effective/needed).
Bribery is not connected to capitalism any more than it is connected to any other economic system, that's the point that you seem to be missing. People seem to want to dunk on capitalism, but it doesn't make any sense here.
