OK, I got the info I needed. This is not a CMIT as it did not involve a domestic situation or theft.
You have to be honest with any visa or immigration officer who questions you regarding this offense. You would be wise to carry with you a certified copy of the court disposition that includes the police report and citation.
It is not grounds for your H1B visa stamp or your adjustment of status to be refused.
Of course the officer always has discretion but it is unlikely they would exercise negative action in a case such as this since you acknowledged you had a problem and took measures to attempt to avoid being in the casino which appears gambling is your issue.
If you have taken any measures to get help for your problem such as attending meetings or counseling sessions, it would be good to have evidence that you are seeking help to resolve your problem.
Your issues with gambling are somewhat different from other addictions because the harm is strictly to yourself versus endangering the health or well-being of others.
You just have to be totally honest with the consular officer or Customs agent if flagged and have the documentation with you for visa stamping and anytime you will pass through inspection.
I wouldn't foresee a refusal.
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