Hailee Lutz received a hug from coach Emily Cherry, then turned toward her teary-eyed family on the other side of the pool and raised her left arm in triumph. During the final home meet of her career, she figured she’d go out with a bang.

“I had a problem with my shoulder earlier in the season, so I hadn’t swum the event in over a month, maybe since the second meet of the season,” said Lutz after she not only reset her own record in the 100-yard butterfly, but also helped the Barnegat girls swim…