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The character trait that is clearly shown by Arachne in the story is being overconfident and boastful because the story showed how Arachne was being ungrateful and boastful of her exceptional talent in weaving that she challenges the source of the gift, the Goddess Athena. Not only did she refuse to acknowledge that her skills are not hers but was given to her, she also defies the Goddess to a contest in order to find who fairs better between the two of them. She hasn't even thanked her for the gift.
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