Here is the sentence:

My cat Fuzz sprang onto the kitchen counter, strode to the sink, and flinged herself onto the cool porcelain for an afternoon nap. Only here was she safe from the pursuit of Oreo, the dog.

The third verb, flinged, is the problem. As you know, the sentence requires the simple past. Flung is the correctly spelled form.

Verb Simple Present Simple Past Past Participle
fling fling(s) flung flung

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