So the latest update is that fogs are still not connected yet. Unfortunately the DIY adapter that Sethdude kindly offered to me weren't compatible for my needs.
However, I do have everything I need to simply splice the wires. I have the female H11 plug that is pre-wired, which will connect to the fogs. The loose wire can then be spliced to the BKS harness. That obviously is simplest and straightforward method but I'm having a hard time bringing myself to hack up the BKS harness. The splicing just seems kind of ghetto to me.
I would much rather make my own adapter but what I'm having a hard time sourcing right now are the contact pins that go into the male GTI plug (part# 5Q0973802). The part number for the contacts are #105 982.02. I found them on the German EBay but they dont ship to the US. ECS sells the male plug and the waterproof seals but not the contact pins.