Based on your above information, you do not meet the Group A Exception.
You lived with your parents prior to leaving and after returning. Assuming you continued to receive your mail, kept your NYS drivers license there as well. This all means you DID maintain a home in NYS.
You lived in base housing while you were on duty in the area. Again, assuming this was temporary base housing as you were on a temporary assignment, not permanently stationed. This would not meet the criteria for maintaining a permanent home outside of the state.
Since you must meet ALL three to qualify for Group A, this exception does not apply to you.
@Erik21
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