I was pursuing a girl. Though I was told that actually she was using me.
Things were going fine, she used to text me, and ask me out, we used to talk and slight kino was involved. At that time I wasn't aware of the PUA game, so the usual routine was I was responding equivalent to the girl's interest, and not escalating much from my side.
I sensed that the girl wanted me to take some initiative and I proposed her, which now I realize was the wrong thing to do as it was an immediate display of low value, and neediness[which I didn't understand then]. The girl just gave me a long email the next day that she is no longer interested in me. Though I came to know from my friends that she will call me when she is interested and actually she doesn't want me to follow her anymore. Now she has shown subtle signs of interest once again, how should I deal with her so as to not get into further trouble. This is a workplace situation as well.

This girl is a piece of work and a pain in the ass so the first question you need to ask yourself is if she worth it?, because as Paul Janka remind us " A difficult girl will continue to be difficult."

She likes you to some degree but your in the friends zone, she may be even subtling telling you to man up and take action. Are you prepared to take action and risk things or are you just going to passively hmm haw about lest you offend her?

I have told that only if she explicitly calls me to take action(I dont know if women does this), till time I should just play cool, and be in her friends zone.
This is from my friends in the same workplace, I dont know if this advice is good though.
Till time I will just polish my PUA skills with other girls.