My wife and I were at the KMart just last weekend. KMart goes bankrupt about every few years. They are closing stores all around the country, but I think Largo is safe. The closest alternative for you would be the WalMart in Florida city, about 16 miles North of Key Largo. I hope this helps.
Not sure about the one in largo. We were there last year in April and K mart on Key West was open.
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