Unfortunately I don't have an answer for you. I received my shot also but I can't speak to if spouses are eligible.
You would have to ck with the VA, call them and ask,
I do not know for sure but I would think since you are his primary caregiver you should be able to get the vaccine. As for the criteria you meet all that is needed. You would need to go to the benefits office at the VA it's is on the first floor. I hope I was able to answer what you needed.
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