OpenAI + Twilio allowing only one call at a time

I am trying to build an app following the openai-realtime-twilio-demo sample. I get it working for one call at a time.
I have upgraded my Twilio account and created a customer profile which has been approved, so likely the blocker is not from Twilio.
But I can get the first call initiated successfully, and even while the first call is still going on, when I try to initiate another call, both calls disconnect.