Was it issued by AA or IB?
I am really not sure I got the ticket through the travel agent.
For the Miami to Madrid flight it says:
Confirmation# American Airlines ECWD** or Iberia K27**
Flight # American Airlines AA8638
Operated by: Iberia flight # 6124
For the Madrid to Tel Aviv flight the flight they were bumped from says
Confirmation# Iberia K27** or Iberia 26VT**
Flight# Iberia Flight # 3316
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<Mod note: edited PNRs for privacy.>