I have this exact problem. What seems to go wrong in my experience is my wingman taxis to a catapult but doesn’t take off, so maybe that breaks a trigger? It looks like he makes it all the way to getting spool up sign from the ground guy, but never actually spools up and thus gets stuck there.
Sometimes the other planes don’t take off as well. Don’t know if that breaks a trigger.
Hope it’s possible to fix. Would prefer not to have to skip the mission.