Alright so first, according to the SBA they start at the Central Park, and since SBA states they start at the highest range with a cap of 4km I would assume it would be like that too here.
Since they start at 4km, One Bullet isn't usable just yet so Agent would use his stealth mastery to gain an advantage. His stealth was so potent that it was almost impossible for cameras to pick him up and people right in front of him had trouble even realizing he's there, so that would help him very much especially in a big place like this.
The one problem and the reason I'm gonna say Blackjack takes it for now is that she'll more often than not blip out of Agents line of sight should he try using One Bullet. The minute she sees this guy pulling a gun on her I have no doubt in my mind that Blackjack would just try to dodge it.
That is assuming that Blackjack could even detect him when he gets in kill range, as most of then than not practically he'd just be completely invisible and shoot his bullet when the enemy doesn't know he's there.
Once One Bullet is out of the equation she has a number of silly options to choose from in regards to dealing with Agents other abilities. Say for whatever reason she wants to activate her Stealthbuck there goes analytical prediction. I'd argue she'd have a substantially easier time playing a stealth game than Agent as well in general because of the other analytical functions provided by the Pipbuck such as EFS.
According to her profile, she turns invisible and produces no sound. This shouldn't be much of a problem for Agent since he can literally detect if anything is around him even if he doesn't know they're there. The fact that he doesn't recklessly shoot One Bullet unless he knows for a fact that it'll hit and ensures his victory also helps, and I believe he wouldn't use it just yet here. Once he knows that Blackjack is there, using that information he could think of a quick plan before putting her in checkmate when he fires his gun.
Honestly though I don't see that happening as often though for the reasons I discussed earlier. I can see her more often than not trying to quite literally (Maybe even dropping the quote itself) "nothing personal kid"ing him from behind via a teleport. Now I know analytical prediction is gonna get brought up but I really don't think thats gonna matter if she busts out something Agent has no way to counter regardless of whether or not he can see it coming. This is more paramount once you factor in SATs, and its slowing of Blackjack's perception. Which since speed is equalized and Blackjack isn't fighting someone faster than her is a much better imo advantage than being good at predictions and being extremely aware of one's surroundings.
Instead of bringing up analytical prediction I'll bring up Instinctive Reaction here. Agent can fight people while unconscious and half-dead, this works even better because of the extrasensory perception that lets him detect anything around him, which means that once Blackjack appears behind him, he'll detect her and instinctive reaction kicks in to save the day. If she isn't ready for this, he can unleash pressure points to one shot her or fire One Bullet if he hasn't used it like I said above.
Especially when Agent F can according to his own profile suffer a spat of poison induced symptoms should he try to prolong it.
The poison symptoms only appear sometimes and usually just affects short-burst stamina in where he needs to stop a bit and balance himself before continuing.
I hope I was able to clearly come off as understandable with all of my arguments, I don't want to come off as biased but to me there isn't a whole lot I think Agent can do here. I just believe at least from a quick draw perspective that theres a number of logical factors that lean the match into Blackjack's favor here. Importantly, Her mindset, Teleporting, and SATs.
I believe Agent should be able to win as well, his instinctive reaction + extrasensory perception saves him from being blindsided or sudden attacks via teleportation. There's also his combat genius as well as pressure points that could one shot if Blackjack isn't careful enough, and his careful nature wouldn't cause him to waste One Bullet and instead would mean he'd fire it in a sure condition where it's impossible for Blackjack to evade.
I've already given my answers above, now I just wait.