"Do you agree?"

I don't

"So, she offers physical contact to see what your level of desire is for it. So, next time she asks you if you want a hug, smile, look her in the eyes and give her this reply, "Do you want to give me one?"

Asking her "do you want to give me a hug" is not a good DB approach if you ask me. To me it is simply more of the same behavior which got shaves here in the first place.
Women want a strong man who is decisive..... Look at your response to what she asking...
W - shaves do you want a hug?
S - do you want to give me a hug?


WEAK, PASSIVE, INDECISIVE....... ATTRACTION KILLERS

W - Shaves do you want a hug?
S - I don't think given our situation that is a good idea, have a nice day.....

STRONG, IN CONTROL, DECISIVE.... ATTRACTION BUILDERS

W - shave, do you want a divorce?
S - I don't know, do you want one?

See you in court