Buses from Asunción to Iguazu (any)

I'm trying to plan a trip from Asunción to Iguazu Falls (Ciudad del Este Seems like it'll be easiest, but I've also read it's a bit seedy, so open to routes to the Argentinian or Brazilian sides as well -- I have a Brazilian visa, btw; unsure if I'll need to pay the Argentinian reciprocity fee for a trip <24 hrs near the falls).

Because the timeline is a bit tight, I'd like to know in advance what my transport options may be.

Specifically, I'll arrive a weekday night around 11 PM. Is there any overnight bus running from that late? Or will I have to stay in the city?

Next I have a 6 AM flight out of Asunción, also on a weekday; will I need to arrive the night before from Iguazu?

I tried to find some bus schedules but kept running into dead links or posts from several years ago.

Links in Spanish are fine; Portugese, I can manage. Any help is appreciated!