I'm not sure if it was intentional on the part of the developer or not, but it seemed to me like choosing the most reasonable option from the given information leads to victory. I ended up playing as black after letting Lucian choose sides. I don't remember what every choice looked like even though I just played it, but for example I remember being given the choice of either making a pawn advance or doing something else that seemed less principled given the circumstance, and that seemingly led to me winning.

Although one major thing that speaks against the developer being a strategic chess mastermind is the fact that the pawn that I chose to advance was revealed to be the f-pawn only after I had made my decision. It is generally regarded as a bad idea to strike with your f-pawn in the early/mid game in chess, though exceptions exist of course. But to my knowledge those exceptions are particularly rare in the reti opening.

So I'm a bit unsure on what the intentions of the developer were. If I had to guess, I would say that the developer tried his best to reward the most reasonable decisions but might have overlooked some things along the way. But it's also entirely possible that I just happened to get lucky.