The Yaaros Devash has a cute pshat. Hashem reveals himself to one being able to recognize it in a form that indicates if a miracle will happen. At Kabolas Hatorah, He showed Himself as an elderly, creating no open miracle whereas by the Yam Suf as a Gibor, One with Strength, indicating that an open miracle will happen. Sarah Imenu saw kavayochel Hashem as a zaken, elderly, indicating to her that no open miracle will occur. Since she had no womb to bear a child, she laughed. So the name over here refers to Hashem and not to master or her husband.
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