Based on the article, the Russians will probably be upset, but may not do anything other than talk tough. Any attempt to sail through would probably be seen as a huge escalation that could potentially drag in NATO, and I don't think Putin wants that, although at this point who knows what he's thinking.
They don’t need to sail through they have moved all the assets they needed into the Black Sea including most of their Baltic fleet already.
They are the proverbial ducks in a barrel tho now.
Fish. Fish in a barrel. Ships can't fly out.
Turkey IS one of the core, long-time NATO nations actually. Check the history, numbers, involvement and contribution.