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A different Professional here.
Unfortunately and regrettably, you do not have a case because the Statute of Limitations has run in your case. No Attorney who values his license to practice law would threaten to file a lawsuit knowing that the Statute of Limitations has run on the case. It would be unethical and unprofessional to do so and more importantly it would be in violation of Rule 11 of Professional Code of Conduct.
The hotel chain is not liable for the affairs conducted by its Vice President eventhough the affairs happened while he was on business trips. It is like saying your employer is responsible for you going out to drink in a bar while you are on a business trip and afterwards hitting a pedestrian while you are going back to your hotel room driving drunk. What your ex-spouse was unconscionable. However, there is no legal remedy available to you. The clock has run out in your case.
I am truly sorry that I do not have better news for you. I understand that it can be quite frustrating to learn that there is no legal remedy for your issue. However, as a licensed Attorney and an Officer of the Court, I am legally obligated to provide you with accurate, legally sound, and ethical information eventhough that information may not be what you want to hear.
Let me know if you need further clarification.
Thank you for your cooperation.