Here's the search results you get if you type "eastern" in that interface: https://gist.github.com/simonw/c2a73e40bbc87b8c25333207c551f...

Typing "New York" gets zero results.

Even knowing the exact name of the timezone I want I still can't find it in that UI!

At least for me, since it's ordered by offset, i just scroll to the approximate offset rather than try to type.

On android, "eastern" similarly results in a mess of results (but eastern is a bad name anyway...), "new york" does find it.

The desktop web version seems to have no type-in search functionality.

In the Android app typing "new y" gives

  Eastern Daylight Time
  18:30  GMT-4
  United States, *New Y*ork