DAYTONA BEACH, Fla. — Qualifying into the Daytona 500 made Anthony Alfredo shed a tear. The 24-year-old driver sat in the grandstands of Daytona International Speedway countless times as a kid, when he had dreams of just having the ability to drive a race car. On Wednesday night, Alfredo accomplished what he considers a dream come true, earning a spot in the “Great American Race” (2:30 p.m., Sunday). And the accomplishment may have meant even more to his team. Beard Motorsports, which will field a No. 62 Chevy in four Cup races this year, was founded by the late Mark Beard Sr. His passing, whi…