And here come the different playstyles in with a passion. In my "Budapest"

my MC was also ordered to sit with them, due to the fact that Kath and Sophia are unnerving the other, they are too different. Kath is in PC for sating her sadism, for Dr. Lundgren sadism is not even on the radar.
Later on Kath started to give my MC a handjob, when Sophia, who could easily sat out the whole episode, got involved. And it turned into an intense makeout session with the doctor.
My MC is not an idiot and knows that Kath sees him as a tool to be formed and Sophia as an interesting test object, so part of starting this makeout was gving a tiny bit of payback to the aloof doctor. But in the end it turned out that my MC and Sophia connected and Dr. Lundgren had no obvious reason to get involved in the first place.
She might not see the MC as an equal currently but the nerd bar talk, the blue room and part of the home visit show that the MC and Sophia have a connection. How this develops further we will see.
As mentioned before, it would be an interesting change of style if we could pursue Sophia Lundgren and break through the ice around her heart. Romancing her a very different thing and way to go compared to e.g. Hana, Felicia or Mina.