Ryan Whitney, who previously played for the Pittsburgh Penguins and Anaheim Ducks, is now an analyst for the Spittin' Chiclets podcast and according to him, the Buffalo Sabres are where Kane will continue his career after the 2022-2023 season.
It's not impossible, in fact it's very likely, that another NHL team will acquire him before the trade deadline, but since Kane is from the Buffalo area, it seems logical that he may want to finish his career with the Sabres and thus sign as a free agent next summer.