Do you mind to provide them to an arbitrator, though? They can keep those evidence related to your algorithm private, just for the arbitrator's eyes, which they'll use to verify and validate your counter-accusation.

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OP, suppose the casino are willing to get it escalated to an arbitrator, please choose one and stick to that one only. If you both agreed to a mediator, their findings and ruling will be considered final and bindings to both parties and you two should honor their decision.