My guess is that Anthropic will either address the government's concern and get the export control removed or implement a citizenship verification (like passport upload or something).
I remember something with either ChatGPT or Claude, way early on, where I had to upload my passport to use some level of it (maybe it was the OpenAI API).
Anyway, there's no way they just shut this completely down, the revenue from mythos is huge. So if they can't get the government to budge they'll find a way to be compliant without completely shutting down.