Would this impact green card process?

My grandmother filed to petition for my divorced mother and it's been 7 years and she recently got approved . The letters that immigration has been sending has my mother names spelt just like her birth certificate and not spelt like her passport. Whoever did her passport in my country messed up 1 letter... show more My grandmother filed to petition for my divorced mother and it's been 7 years and she recently got approved . The letters that immigration has been sending has my mother names spelt just like her birth certificate and not spelt like her passport. Whoever did her passport in my country messed up 1 letter instead of first letter "I" its spelt first letter "E" . And her final alphabet has 2 "Fs"but passport only included 1 "F" . Would she need to get a new passport with her correct birth name or just hold on to her current passport & explain her self?
Her current passport has all her travel history etc.

Thank you for your advice and thoughts! Have a blessed day
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