I'm stalled a bit here since, except for Aya's actions, which are mostly supportive of others, the PC actions this round either aren't consistent with how events are developing (Argenta should not be able to reenter the hangar bay, and if she did, she wouldn't be able to participate; Aurelié's actions assume the enemy fighters are disorganized and would give away her remaining non-material advantages) or don't progress the plot. I don't blame you, but it doesn't seem like telling myself I need to figure this out is helping me figure this out.
Should we keep doing things the way we've been doing them, or would you prefer to get together to plan out what's going to happen next? I'm trying to give you enough options that it won't seem like railroading, but at the same time, I don't want to give you options that, if taken, would take you out of the RP for the rest of the battle. The clash with the fighters Aurelié was engaged in, already, is a potential source of opposition for Fyodor. Aurelié and Nocnimura are outmatched even if the commander joins in--though the commander ought to do something because Argenta set her up to do something.
My top ideas for things for Argenta to do right now while she's outside the ship are to cooperate with Aya on the repairs to the engine, or to interact with the commander, maybe hitching a ride on her fighter. The enemy carrier is inbound with another surprise waiting in its hangar bay, which those two might be able to interact with. She could also stay the debris field or head back to another part of the ship. If I bend things so she's able to get back in the hangar, though, she'd be stuck there until the battle's over, and what she'd be tasked with in there wouldn't matter until then.
There's only two advantages to repairing the engine in the middle of the fight, one is that the ship can afford to lose one of its other engines, and the other is that the ship isn't completely doomed if both of the other engines are knocked out. So, it's not going to earn a win on its own. Even getting all four engines running wouldn't let the Ryujo escape this battle. So it's more an opportunity for your characters to show their skills, and I'd encourage you to plan out how it's going to go to that end. You'll probably want to get it done before the fighter-fight is over, so that you still have time to do something that will have an effect on the outcome.
To rephrase, do you prefer the suspense of no one knowing what's going to happen, or would you prefer to plan it out so you know what kind of RP to prepare for? The former seems to make things difficult, but I don't want to ruin if you're looking forward to big surprises, even if they're hard to work with.