Letter 190
Recipient not listed
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Being that the Bris (circumcision) was done by a doctor you must ask an Orthodox rabbi if there is something to add now etc.
About the name מנחם מענדל - it is O.K.
Notes and sources
Source: Photocopy of the Rebbe's holy handwriting.
Published: Teshura (Simpson-Lustig), 16 Adar I, 5763.
Bris Performed By The Physician
https://drive.google.com/drive/folders/1O1OdY3q2KwUG67vm6hznPckGHp5RE4Wm