lady idk if he can be your brother
At least it's not like that one shoujo? manga where the main love interest killed MC's brother
But even if you're close as siblings i'd think it'd still be awkward to sleep in the same bed, even if you were the same sex but i'd be the type of person who'd move around in my sleep more even if i was willing to share a room sharing a bed is a bit much
Oshiko don't ask him to live with you
Nozaki don't ask to live with her
You guys have been dating for like a week and a half and are a straight couple
I mean, other than the stereotypes of "lesbians moving fast" (as a way of overcompensating/making up for lost time or whatever) , a gay couple moving in together wouldn't necessarily work versus some rom coms that starts as 'roommates to lovers' or "fake marriage/relationship into real one"