You want to communicate here that you are a great listener, that you are someone who brings together a lot of unique personalities for a greater good, and that you are a probelm solver.
You are trying to help them understand you know how to bring teams through strife. Client work is hard and the account manager must help the team struggle through those hard times by being solutions oriented, scrappy, resourceful and clear-headed.
Be clear that you love to grow brands, businesses and teams. Great account people are not merely "schedule people" who keep the trains running but rather general managers in training.
If you are asked this, you want to try and help them understand how you are excellent at listening for opportunity, nuance, and pulling out insights that are not easilly findable for most people. You then take those insights and share them with teams to come to great solutions that help all parties.