On July 15, Staten Island pizzeria Valducci’s will launch a lunchtime pizza truck in Chelsea that will extend its hours (up to 24 on some days) starting in September. Owner Mike Vallario has already sent the truck to cultivate a following for Valducci’s signature Sicilian pie — cheese under sauce — by distributing free slices at 24th Street near Broadway. (The truck is out sporadically, so you’ll have to walk by to see if it’s there.) But the truck is also a precursor to a pizza bar he wants to open nearby at 27 West 24th Street by December. The restaurant menu will have two options, Sicilian or round, and a full bar.