Edgecombe's basketball journey began in Bimini, the Bahamas, where he spent his childhood before immigrating to the United States in the ninth grade. After initially settling in Florida, he pursued his education at Victory International Institute before transferring to Long Island Lutheran Middle and High School in Brookville, New York, as a boarding student. During his junior season, Edgecombe played a pivotal role in the Crusaders' state championship victory, earning impressive statistics and prestigious accolades, including the New York Gatorade Player of the Year and the NIBC Player of the Year. Recognized as a consensus five-star recruit, his ranking soared after a standout performance in the Adidas 3SSB travel circuit. Ultimately, Edgecombe committed to playing college basketball at Baylor, opting for the Bears over offers from Duke and Kentucky, setting the stage for an anticipated and promising college career.