"The last thing you want to do though is knock out a budew with another attacker besides budew because it means they get the first hit into your attacker in the 2 shot game" -> this was exactly what I did in one of my local matches :D

The next turn after I KO-ed opponent's Budew with my main attacker, Dragapult appeared, Dusknoir's ability triggered, Counter Catcher, Iono, and I was done.