MIAMI — On Saturday night in Springfield, Mass., Dwyane Wade will attempt to sum up a career in a matter of minutes during his induction into the Naismith Memorial Basketball Hall of Fame. But for the Miami Heat icon, there was more than a single chapter of his life, even of his basketball life. Over the past two weeks, as former teammates passed through South Florida, they attempted to encapsulate the Wade experience, each offering specific perspective from Wade’s 2003 debut to his 2019 farewell. The rising Gary Payton already had played with his share of stars, from Shawn Kemp to Kobe Bryant to Shaquille O’Neal before he arrived in Miami at the start of 2005-06. By then, Wade was two years into his NBA career, emerging as a whirlwind of scoring and leadership. Payton jumped aboard in time for the Heat’s Wade-led run to the 2006 NBA title. “I saw a special guy, you know what I’m saying?” the Hall of Fame guard said during the Big3’s recent appearance at Kaseya Center, with Payton, 55, now a coach in Ice Cube’s halfcourt weekend league.