DIAGNOSIS No, it is not safe. You are ingesting flakes of the coating. This is typically caused by using metal utensils, abrasive scrubbers, or dishwasher detergent.
FIX Stop using the basket immediately. Order a genuine Cosori replacement basket for the Pro II 5.8QT model. Use only nylon, wood, or silicone utensils. Hand wash with a soft sponge and mild detergent.
IF THAT DIDN'T WORK If the replacement basket also chips quickly, your dishwasher's water temperature or detergent is too harsh. Always hand wash coated accessories.
HEADS UP Do not continue to use a damaged basket. Ingesting coating material is a health hazard. Cosori's warranty often covers premature coating failure.