SPOILER

OMG GUUUUYS
So the crown prince suddenly faught the assassins with HER LASER GUN (that had a password on) so skillfully (remember she couldn't find her weapon while burying her old body). MC realises he's dangerous and runs away, goes back to the dorm and runs away with her maid with that white dress as emergency money.
They run to that cottage in death vally
All her guild men were already in there

After around two days she says giodbye to the guild members and her maid and leaves to death valley

(so in about 3 chapters from now?) she finds the spaceship!! She gets inside through an emergency door with the help of arc.
The space shuttle was actually not functioning in many parts from damages on the inside and self-recovery wasn't working so an engineer must be called, but the medical wing was working and she lies down in sth like a tan bed (whatever you call it) that does scanning and actually heals her face!
(Btw she looks good in the space outfit!)
Anyways she wasn't able to fix anything after so many days, and probably made things worse due to how delicate and accurate the work is.
(Probably since she didn't study well at the engineering exam because of carelessness that she regrets it so much now)
On a whim she wanted to see who was the engineer that designed such a detailed and complicated ship, turned out he was a guy with lots of achievements, GUESS WHAT
HE LOOKS EXACTLY LIKE THE ML BUT WITH SILVER HAIR! AND THE ARC UPDATED MORE INFORMATION AND TURNS OUT THEY HAVE THE SAME NAAAAAMEEEEE
It explains why he was using her weapon easily! HE IS (probably. Most likely) THE ENGINEER OF THE SHIIIIIIIIIIIIIIIP

Update: it really is him! He fixed the ship in 2 days too!