Edgecombe was born and spent his childhood in
Bimini,
The Bahamas. Edgecombe grew up in the Abaco Islands of The Bahamas, where he first played basketball in local youth leagues. He participated in development camps organized by NBA player
Buddy Hield, whom he later described as a mentor figure. Edgecombe described himself as "[coming] from nothing", living off a generator due to limited electricity. He immigrated to the United States when he was in ninth grade, originally settling in Florida. He attended Victory International Institute in
West Palm Beach, Florida for two years before transferring to
Long Island Lutheran Middle and High School in
Brookville, New York as a boarding student. He averaged 15.5 points, five rebounds, 2.3 assists, and 2.2 steals per game during his junior season as the Crusaders won the state championship. Edgecombe was named the New York Gatorade Player of the Year and the National Interscholastic Basketball Conference (NIBC) Player of the Year at the end of the season. As a senior, Edgecombe averaged 17.3 points, six rebounds, four assists, and 2.3 steals per game to lead the Crusaders to a 21–5 record. During his senior year, he was selected to play in the
2024 McDonald's All-American Boys Game.
Recruiting Edgecombe was a consensus five-star
recruit and one of the top players in the 2024 class, according to major recruiting services. He was originally rated 153rd in the composite ranking of
247Sports, but moved up to the top five following his performance in the Adidas 3SSB travel circuit as a junior. On January 14, 2024, Edgecombe committed to playing college basketball for
Baylor after considering offers from
Duke and
Kentucky. ==College career==