I see how it could be uncomfortable. From one internet stranger to another, I hope you know it’s appreciated. That kind of empathy already goes a long way. It might not come out that way but I see it from here.
Some real advice for situations where you’re not quite sure how to address the ethnicity topic: you could just ask if they grew up in . If they say no, they might tell you where they grew up. If not, let it pass. Not everyone wants to talk about where they grew up. 1st generation+ Asians can be all over the place on comfort with their identity.
Also, if the vibes aren’t there, they might just not want to talk. That’s fine too.

Whee!!! Let’s gooooooo!!!!