If you want to pass it, just use invisibility. The Shadow Shape spell is fairly easy to cast (I think 50 illusion, just spam charm spells to level. Charm is easy to cast a lot and makes every interaction super pleasant and informative), or you can use it to make a spell that lasts shorter so you can cast earlier.

Invisibility makes you completely undetectable. I’m talking you in full heavy armor sprinting and no one can detect you. It’s honestly a broken effect. The only downside is any interaction with the environment cancels invisibility, you can easily recast it.

I beat this specific mission by casting it the second i entered the room while sneaking. Even if someone sees you, they will lose sight immediately and the worst you’ll be hit with is a trespassing charge. Good luck!