She misses most of it - misses both Vanessa and Jason arriving, most of what they do - that time consumed by fighting off the spectre in her head. Annabeth is finally successful, but between her brain and her willpower, the likelihood of getting possessed was basically minimal anyway. Fortunately, the physical contact also lets her take another swipe with her knife, and this time, the blow damages it, just not enough to kill it.

Her focus returns entirely to the scene at hand just in time to see Jason vaporize a second spectre, and her eyes widen with realization. With perfect timing, given she also finally notes the extra spectres (and possessed kedan) drawn over by all the commotion. "Electricity! Jason, you need to hit them with it!"

From behind her, Percy shouts a warning, and she whirls around just in time to block a blow with her knife from an approaching kedan. She glances towards Percy briefly, to see he's crawled off to the side to be less in the middle of it all (and electrocuted or otherwise, he's still got her back). Annabeth lifts her leg, kicking the kedan in the gut with enough force to knock him to the ground while she gets a better grasp of the situation. She scans the scene again, pinpointing everyone's location and swirling with what-dos. "Leo, there might be a power charge in that salvage!"

Would Vanessa's ability work, too? She's not sure, but Percy's yelling another warning at her before she can ask and find out, as another spectre flies at her. It shoots a spark, and she ducks into a roll to avoid it, coming up at the same time as the kedan. Fortunately, she's behind it, giving her ample opportunity to slam the hilt of her knife into its head (a little more angrily than she probably should have) and knock it out cold. She is getting way too good at using that move.