s the clients' right to choose their own counsel." Amusement Indus., Inc. v. Stern, 657 F. Supp. 2d 458, 461 (S.D.N.Y. 2009) (quoting Conigliaro v. Horace Mann School, 1997 WL 189058, at *4 (S.D.N.Y. Apr. 17, 1997) (citations omitted)). As a result, "courts in this District [i.e., the Southern District of New York