Welp, it turns out a "filter coffee" here is not what I thought it was.
My ignorant American self was thinking it was gonna be a pour-over a la Philz or just standard drip coffee.
Heh. Very much not that at all as it turns out.
https://en.m.wikipedia.org/wiki/Indian_filter_coffee
Very tasty though, and helpful in fighting off the jetlag for this last leg of our journey.