If you walked away, chances are she's not going to follow
you, unless you're trying to do a compliance test with her
by taking her and and leading her through the bar.

Otherwise, like I said earlier, open another set, merge them,
build jealousy, isolate the target again, and then bounce or
time bridge.

hmm merging the conversation is creative, never thought of that actually.

but let me analyze it...
if you go talk to some other UG and then merge the conversation with HB+AMOG, isnt this a bit weak?
because you could have done it directly without bringing the other UG in. The other UG just is bait for the AMOG so he gets stuck with it and wont easily bother you again.
You probably would still have to joke around with the amog to win the HB back and get him stuck with the UG. so you have to fight (bring him down, not a real fight) anyway

my conclusion is: FIGHTING directly (although not physical, just bringing him down socially) is better than IGNORING or MERGING, its always stronger and easier to just bring the amog down directly and take the girl back directly. the faster you are, the more attractive you are. you dont have to provide the AMOG an UG, he will find his own. if he does not find an UG he has to stay alone, even worse for him. if he does not and keeps coming back to the HB: this is your chance to show all your great lines and since you know every AMOG answer you will always win anyway. and the more he tries, the more he fails, so the more your social proof & attractiveness goes up for the HB. i think this is the best and guaranteed method. all other methods might work, but are without guarantee