Sup Phate
Well first we need to take into consideration that she just split with her ex of 2 years. Personally, I would become a little friendly with her but not enough to say "lets just be friends" at the end of the day. Don't bring up the topic of her ex unless she brings it up, in that case, be sympathetic but also throw in some negetive connotations of him. It's psychologically proven that thinking of an ex in a negetive way (he's a bastard, he was heartless, he had a big nose, acne etc) helps the mind to get over them.
But back to the point, I wouldn't sarge her yet because if it does happen that she starts dating you she might mess it up with feelings from her past relationship.
Happy Gaming
M