Earlier quoted context omitted.
Track not the ship itself but the planes that take off and land on it. Many sites will expose their paths, you'll see the planes circling in a pattern around "some void" - that's the ship.
If de Gaulle is turning off AIS, it stands to reason that it's also turning off the transponders in the air wing.
It was patrolling ~100km below Cyprus's main southern city.
Move the timeline to yesterday, find a non-Boeing military plane in that zone, enable flight traces and keep trying planes until you see an ovoidal pattern circling around "nothing"... but that nothingness moves over time.m; that's the ship.