Very close to 0% chance you get the pass back. You would have a better shot if you had instead paid the entry fee and then asked Amex to refund it.

not sure why you had the idea to show them a picture of a card, I can't imagine any scenario in which this would work. Is there a reason you even have photos of cards??? Honestly if someone tried that with me I would instantly assume they're trying to pull one over on me and it would be very difficult to get me to reverse that assessment.