I didn't ignore any more context than you did, but just I want to acknowledge the irony that "context" (specifically, here, any sort of memory that isn't in the text context window) is
exactly what is lacking with these models.
For example, even the dumbest dog has a memory, a strikingly advanced concept model of the world [1], a persistent state beyond the last conversation history, and an ability to reason (that doesn't require re-running the same conversation sixteen bajillion times in a row). Transformer models do not. It's really cool that they can input and barf out realistic-sounding text, but let's keep in mind the obvious truths about what they are doing.
[1] "I like food. Something that smells like food is in the square thing on the floor. Maybe if I tip it over food will come out, and I will find food. Oh no, the person looked at me strangely when I got close to the square thing! I am in trouble! I will have to do it when they're not looking."