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Please find attached an example workflow that will hopefully accomplish what you are looking for.
I start with the first day of the month, check to see if it is a weekend, and then check to see if it is a holiday (manually maintained list of holidays - I used an Excel sheet but using text in the attached workflow). All the time moving forward by a day to ultimately get the first business day.
Let me know if this is what you are looking for. Not the most elegant, but I think it works.