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An attorney can certainly do this more efficiently. It is not going to be a complex estate. I just looked up GA probate codes, it appears there was a major revision done to the code in 1998.
In order to take under the current code, she has to be a "current spouse" - as they are divorced, she can't take. The will says you are the executrix "if she doesn't survive" but she can always disclaim that duty if she doesn't want to do it.
GA also appears to have a streamlined basic process for probate where there is no real property. Yes, the will needs to be filed with the County Clerk. That is what commences the probate action.
A local, experienced, probate attorney is going to save you a world of hassle. This will be straightforward and simple for the right person. Hope you find them, and I hope this helps. XXXXX XXXXX