I have had small mold issues in rental properties in the northeast. I used a bleach based cleaner as well and the mold spores reappeared rather quickly. A refrigeration repairman suggested that I clean first with Dawn & warm water, ventilate to dry, and then mist with bleach water and let it air dry. It worked very well. Two cleanings and two bleach sanitizers and the mold spores stopped. In the Florida climate, you may have to ventilate with the bleach water as well, I don't know.
It is a low cost, low effort attempt to stop the spores from spreading.
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