Call the information desk to get your answer. Or Google battery recycling centers.
I asked this question on Facebook awhile back since I have some quality, smart friends. General consensus was that recycling centers are not (at this time) able to recycle them and they end up in the landfill.
I did just try to call my local recycling center and all I got was a recording about when they are open for 4th of July (which was this *pasT* weekend). Then, the recording hung up on me (no option to press '0', not leave a message). :/
I, then, searched with The Google so I could confirm my above Facebook answer. I am currently down a rabbit hole, GiNNy. The rabbits (bunnies) are sooo cuTe! They have little feet and beady eyes and fluffy tails, too! ;)
So, to answer your question, looks like AA batteries are
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