Lee attended high school and played four years for Shattuck-Saint Mary's. He then joined the Madison Capitols of the USHL, where he recorded one goal and one assist in two games during the 2023–24 season. During the 2024–25 season, in his draft eligible year, he led all rookies in scoring with 31 goals and 37 assists in 58 games, and he helped the Capitols reach the second round of the playoffs. Following the season he was named the USHL Rookie of the Year. Lee was also named MVP in the 2025 Chipotle All-American Game, which features the top 40 American draft-eligible prospects. On June 27, 2025, he was drafted 26th overall by the Nashville Predators in the 2025 NHL entry draft.