2550 (1): Science down to 10%, since we can get away with this now. Lux up to 20% to keep Barcelona orderly.
Our eastern exploring warrior discovers ivory.
2510 (2): The French are building the Pyramids, the English the Oracle.
2470 (3): Our southernmost warrior discovers more dyes, but in French territory.
Oho, the water northeast of Hastings is fresh.

So there ought to be a way around the bottleneck.
Our two workers outside Madrid finish mining a BG tile (and then get to work on another).
Barcelona worker --> warrior. The lux rate has to stay at 20% for Madrid's sake, though.
2430 (4)-2390 (5): Nothing much.
2350 (6): An Ottoman spearman shows up next to our southernmost warrior, in French territory. The Ottomans are ahead of us by the same five (visible) techs as the English, so they don't directly provide us with any twofer opportunites, but we can afford Mysticism now.
I can't see enough of the map to make a well-informed decision as to whether to buy it from the Ottomans or the English; but since it's possible that the Ottomans are behind the French from our point of view (I mean geographically), in which case we don't need their good will much, I choose the English (3 gpt and 58 gold for Mysticism).
We then turn to the French to complete the twofer, and unfortunately choosing our tech proves fairly easy, because Mysticism won't get us Masonry or the Wheel. (Incidentally, the French value the Wheel above Masonry, though all three of our known rivals have both. Is this normal, or a special wrinkle of this game?) I pick Bronze Working over Warrior Code, getting Joanie to throw in three gold.
Lux up to 30% to keep Madrid happy.
2310 (7): I'm able to sneak our southernmost warrior past a two-tile stretch of French territory.
Barcelona's worker hooks up its incense.
2270 (8): The Zulus show up unannounced on the diplo screen, as sometimes happens. They have Masonry, Writing, IW, WC, and the Wheel, and our other three known foes have exactly the same list--so our Writing gambit goes into the toilet, with six turns to go.

I don't know what a Predator-class game is, but on the tech front this feels like one.
Madrid granary --> settler.
2230 (9): Madrid's workers finish mining another BG tile.
Madrid warrior --> warrior, and the four-turn warrior/settler cycle begins.

The fact that Madrid's last BG isn't mined yet doesn't matter.
Barcelona warrior --> worker.
2190 (10): Our original exploring warrior finds a northern route around the Hastings bottleneck.
Lux rate down to 20%, now that Madrid has a garrison of two.
Communications with the Celts and the Indians are now available--from all four of our known rivals, predictably--though we can't afford them.
The only tech we'd be able to see which our known opponents don't have is Polytheism.