To raise additional grounds [in a traverse], a petitioner must file an amended petition to provide adequate notice to the state of additional claims.”)(internal quotation marks and citations omitted); see also Lalonde v. Thomas, No. 9:20-CV-1561 (GTS), 2022 WL 1303918, at *14, n. 4 (N.D.N.Y. May 2, 2022);Lee v. Greene, No. 9:05-CV-1337 GTS/DEP, 2010 WL 5779440, at *5 (N.D.N.Y. Dec. 15, 2010),report andrecommendation adopted, No. 9:05-CV-1337 GTS/DEP, 2011 WL 500673 (N.D.N.Y. Feb. 10, 2011).

Ture v. Racette, No. 9:12-CV-1864 (JKS), 2014 WL 2895439, at *4 (N.D.N.Y. June 26, 2014) ("Although Ture raised the remaining claims in his pro se CPL § 440.10 motion, Ture did not seek leave to appeal the denial of that motion. Thus, these claims are unexhausted."); Lee v. Greene, No. 9:05-CV-1337, 2011 WL 500673 (GTS/DEP), at *4 n.4 (N.D.N.Y. Feb. 10, 2011). Petitioner's claim is also procedurally defaulted, inasmuch he had thirty days within which to seek leave to appeal. That time period has long since expired, as has the one-year period within which he could have sought an extension of time within which to file a leave application.