Hey giovanni great post
I also did some field report post a few minutes ago, and as I was writting mine, i discovered that the GOOD thing about GAme is that you already know the answers are, it just takes a while to hit us.
As you said, maybe you leaned in too much, displaying huge amounts of interest, or maybe you could have used the FTC or move the set to where your friend was, or maybe invite your friend over to show a bit more social proof and make things more interesting.
It seems that it was at least a 3set, maybe more, even though you managed to be the AlPHA maybe you could have used a wing to help you isolate, but, since the thing was to be next to the fire to avoid freezing to death I guess it was hard to isolate a target away from the fire, both yours and her comfort levels would have dropped low.
By what you wrote, seems that you had a good energy level, yoy made the opener work great, created attraction, and disabled any other AMOG around.
But yes, id only say to remember the points you already know, not leaning in too much and having always a FTC, If you dont go for the FTC, remember to merge sets that way you dont have to "LEAVE". you have your friends come over, or just move the set.
Id say in that particular case, to bring your friends over to the fire, since the set is not going anywhere away from the fire, you've got that to your advantage.
Another point.. if the set was just girls set, remember to establish who your target is. I have found myself struggling because i didnt pick a target within a set i open, then its a bit harder for me to find a gravitational point for the conversation. If you know your target you know the gravitational point is gonna be negging her and keep her friends entertained and give all those DHV you already know
Well thats what i think, for now, theres much more to be extracted from your experience i guess
peace !