Pvt. A. Mahmood is listed as a member of Easy Company.
I can only find one enlistment for an A Mahmood, he was Canadian born in 1922 living in Minnesota in 1942.
I can only find records for one man in Minnesota who's name was Albert Mahmood, he died in 2004.
Albert's obituary states that he was a member of Merrill’s Marauders.
While it seems unlikely that a man would be able to serve with both Easy and the Marauders this is what the evidence shows.
https://www.geni.com/documents/view?doc_id=6000000127145175859&
https://www.geni.com/projects/Merrill-s-Marauders/17798