<human>: Provide a brief overview of the text.

Almost two months ago I met a girl through some mutual friends at a dinner party and we immediatly hit it off. We chatted and texted a lot during the next weeks and went on some very succesful dates. She's everything I'm looking for at the moment - Intelligent, talented, funny, off-the-scale cute, bit dorky and introverted but not shy. I fell hard and have not felt this way about a girl for years. Her response has been great and she seems as eager as me to take the next steps.

She shares a two bedroom flat with a close male friend she's known since they were kids and also went to the same college with, I discovered they had also dated and been a couple for about half a year during that time, but that they decided it had been a mistake and went back to being friends, this was also before they moved in to the place where she lives now. 

The thing is, she's terrible with social queues and could be pretty oblivious to what a massive red flag this is to me (or to any guy really). She doesn't have a lot of experience with guys and I think it was her first and only relationship. I'm just not sure how to bring this up without making it seem like I'm giving an ultimatum or want her to cut him out of her life. 

I'm not desperate (or a doormat) and I wont rush into a relationship before I figure this thing out.
<bot>: She still lives with her ex and also close friend of many years, may not realize it's a red flag, I'm unsure how to bring it up.