For Primark , the Dublin-based fashion chain with the razor-sharp values, it’s a milestone moment in the U.S. The retailer will open a four-level flagship on 34th Street on Friday — between Sixth and Seventh Avenues and smack opposite the Macy’s Herald Square flagship. The opening is Primark ’s 40th store in the U.S. and the retailer’s most important and highest profile store in the States. Primark entered the U.S. in 2015. The location, at 150 West 34th Street, should go a long way to raise the retailer’s profile. “We are just not always top of mind for consumers — yet. That’s the opportunity that’s ahead,” said Kevin Tulip, president of Primark in the U.S., during a tour of the flagship. To support the opening, Primark triggered its biggest marketing campaign yet. “For a company that has done very little marketing historically, we’ve really gone all out here,” said Tulip.…