Though many actors are appearing at the Cannes Film Festival this week, the best role in town might be a little further down the Croisette. Season 4 of “The White Lotus” will be set around the Cannes Film Festival, bringing one the most acclaimed TV series into the heart of cinema’s French Riviera playground. The Hôtel Martinez, one of the iconic luxury hotels that line the beach in Cannes, will be a central location in Mike White’s HBO series, fictionally renamed the White Lotus Cannes. Shooting has begun along the Riviera. But four days into the Cannes Film Festival, “The White Lotus” production has yet to materialize in town. The festival runs to May 23, so there’s still plenty of time. But the prospect of it turning into a live backdrop for “The White Lotus” may be unlikely.…