The University of Chicago Bookstore Features A Very Nice Coffee Shop.

…“At the coffee table a student whom Phædrus had marked as bright but intellectually snobbish said, "I consider this one of the most unpleasant classes I have ever been in." He seemed to look down on Phædrus with womanish peevishness as a spoiler of what should have been a nice experience.” (University of Chicago Cont Next)

Bookstore, University of Chicago, Chicago, IL. So far as I could determine this would be the most likely accessible coffee place near Phaedrus’s Classroom that is just “across the street“.
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