I am a student who lives in a dorm, and sometimes my roommates don’t agree upon turning the lights on in Fajr, as they’re sleeping.
The AC however, has its temperature light on. I can see my jaye-namaz and khak-shifa in that light, but room is otherwise dark. I wanted to ask if we can pray Namaz in this bit of light (equivalent to the light of a road signal) or should I find some alternate to it?
And if its forbidden to pray in this dim light, do I need to offer qaza for my previous fajr prayers?

It is fine to pray in that way so as not to disturb others.