[2][3] Tuch committed to play college ice hockey for Boston University of the National Collegiate Athletic Association (NCAA) beginning in the 2020–21 season.

[1][9] Following BU's overtime defeat to Denver during the 2024 Frozen Four,[10] Tuch signed a two-year, entry-level contract with the Canadiens on April 16, 2024.

He likewise signed a standard player contract to join the Laval Rocket, Montreal's American Hockey League (AHL) affiliate, for the remainder of the 2023–24 season.

[12] On May 4, 2023, Tuch was named to the United States men's national ice hockey team to compete at the 2023 IIHF World Championship.

[3] He has a twin sister, Leah, and an older brother, Alex, who is a professional ice hockey player for the Buffalo Sabres.