Hello Verrazano. thank you for the feedback! I really scrambled to finish it so I'll hopefully implement everything people have suggested after the Jam period ends.
The cards should resolve automatically once you run out of the 3/3 trades and as long as it has the highest priority. Setbacks are the cards that say "you suffer a setback". They should have three red exclamation markers as an overlay, while advance cards have one green marker. You indeed need to exhaust the 3 trades for the timer to tick down and for the "round" to end. If you have what you want, the fastest way is to "trade" then decline the AI offer. It could be possible that the trade resolved and you somehow got the same cards when the turn passed. If not, it's probably a bug. Promise I'll add a "skip" functionality when I get the chance. I appreciate the feedback : )!