Sophia, Patricia and the boys end up in the fundus at the end of the tour of the museum. It need not be mentioned that Patricia will not miss any opportunity to heat up the situation.The themes of the event could be (obviously) art, which could drive the discussions and the affinities between the different characters. We know Sophia loves arts and probably she could be easily "seduced" by the guys guiding them through the museum. So, as for the 3rd task, we could expect another art lecture that somehow eases into the main event, whatever it will be.
Another theme could be again the nostalgia for the younger years of the college (as it has already been hinted during the first meeting), being admired by younger people, especially if e.g. one is the quarterback of the college team and has an keen interest in art. Mutatis mutandis, something that we already saw in Sam story.
If we put together these two, there is enough material for developing an interesting story in which they are not just some random extras, an excuse for a night out with Patricia. Something should happen with them. And it would be also interesting to see if this will have some influence on the day after during the ranch event and in some way will contribute to bring the sister closer and closer before the (supposedly/alleged) big moment at the ranch. Or, whatever happens, will not be in presence of both sisters.
A new exhibition is being prepared in the Fundus. Among other things, there are one or more replicas of antique clothes of a queen. Patricia and the boys persuade Sophia to a small cosplay scene.
Sophia as queen, Patricia as her maid and the boys as slaves.
Finally the scene in which the queen gives the two slaves a footjob while her maid is busy with her breasts.
I would like to emphasize that I can't do anything with a foot fetish, but the scenario would fit in my opinion to the current corruption level of Sophia. It would be sexual but with a literal distance.