Anthony Davis has yet to appear in a game for the Wizards since he arrived in Washington at the February trade deadline, but he may have already brought the franchise some significant luck. The Wizards won the NBA draft lottery Sunday, receiving the No. 1 pick and the right to select their preference of a loaded class headlined by AJ Dybantsa, Darryn Peterson and Cameron Boozer. On the surface, Davis didn’t have anything to do with the luck that headed Washington’s way. But, after the midseason trade, it’s the third time he’s been involved in a trade where one of the franchises walked away with the top pick in the next draft. At the 2025 trade deadline, he was famously traded from the Lakers to the Mavericks in the controversial deal that sent Luka Dončić to Los Angeles. The Mavs’ front office, and specifically former general manager Nico Harrison, received plenty of flak for the confounding move. Dallas’s luck turned around when it won the Cooper Flagg sweepstakes in last year’s lottery.…