It's a same in the official novel. When they refered ther "hero name" they refer her as David (he). When they refer her as person not the hero then Dawit and use she. According to google she is he Σ(  ̄□ ̄||) at last that what the ai says... even if he is looking like a girl, truly she is he... if im not correct pls someone correct me.
in this page, under the Ha family spoiler they use he too.
https://www.novelupdatesforum.com/threads/the-rankers-guide-to-live-an-ordinary-life.131646/page-5#post-8105304

Why is Dawit translated as David in the recent chapters LOLLL. And they're using he/him for her. Everyone got Korean names, and she's just David