I will vouch for what you just said. You have given them every opportunity to say that you misunderstood - even asked them directly. Nobody would say that you misunderstood or change their response. It’s like the Millionaire question they knew was a millionaire question and you asked them about 4 different times, “Is that your final answer?”
At this point they’ve lost all ability to say that you misunderstood or that they didn’t realize what their answer meant.
Thank you! Now go rest up and have wonderful night!
Err...actually I just realized that Joesting actually gave me the “I can’t turn away from my workload to give you a yes or no answer.”