Breaking a blockade with a warship is only permissible if it is the warship of a neutral nation, escorting a cargo ship to a port, designated by the blockading force for the reception and inspection of humanitarian goods.
Otherwise it is both an act of war, and the Captain of that ship may be tried for piracy, even if ordered to do so by his superiors.
Israel has very carefully set up its embargo so that it follows all international rules of the sea and blockades, which go back over a hundred years, and were most recently revised in the 1990s.
Israel was chastised over the seized cargo ship last time, because they initiated action against it while it was still in international waters, even though it was intending to enter the embargo zone, and said so.
But Turkey will likely find that force projection is not as easy as Erdogan’s ego imagines. Their ships are strategically and tactically outmatched by Israel, and guaranteed, Israel will do everything by the numbers to insure that if Turkey declares war, it will do so as the aggressor nation, which will forfeit any international legal support.
Erdogan would then likely face war crimes charges.
Your post is factual and well thought out. There is one glaring problem with it, though. You forget that we are dealing with the evil Jeeeeeewwwwwwssssss. Internationally, logic, facts and the truth seem to fly out the window anytime Israel is involved. Erdogan could be filmed roasting Jewish babies on a spit, and Israel would be condemned for trying to poison him ont eh world stage.
With the islamist lovers in the White House and State Dept., who knows what US reaction would be if Turkey initiated a shooting war. I highly doubt that it would be the proper moral and logical one, though.