Very cute and funny really.
Well, it is the only mistranslated part isn't it? Then there is no need for the rest of course as you say
Also, after the mother tells Alexandria to thank him, her mother probably says something like "would you like to have one?" when she crossed the basket of cookies to the doctor, right? As the doctor thinks she asked some other question considering her intonation.
Thank you very much for your explanation

I'm grateful.